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223213210020 = 2232537307109171
BaseRepresentation
bin1100111111100010001…
…0110100100110100100
3210100011010000221020200
43033320202310212210
512124120040210040
6250313121430500
722061300660103
oct3177042644644
9710133027220
10223213210020
1186734046499
123731579b430
131808360c2c8
14ab3703003a
155c1634c630
hex33f88b49a4

223213210020 has 144 divisors (see below), whose sum is σ = 697651002048. Its totient is φ = 57725602560.

The previous prime is 223213210007. The next prime is 223213210021. The reversal of 223213210020 is 20012312322.

223213210020 is a `hidden beast` number, since 2 + 2 + 321 + 321 + 0 + 0 + 20 = 666.

223213210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232132100203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223213209975 and 223213210002.

It is not an unprimeable number, because it can be changed into a prime (223213210021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1990035 + ... + 2099205.

Almost surely, 2223213210020 is an apocalyptic number.

223213210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223213210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348825501024).

223213210020 is an abundant number, since it is smaller than the sum of its proper divisors (474437792028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223213210020 is a wasteful number, since it uses less digits than its factorization.

223213210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109530 (or 109525 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 223213210020 its reverse (20012312322), we get a palindrome (243225522342).

The spelling of 223213210020 in words is "two hundred twenty-three billion, two hundred thirteen million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 307 333 370 444 555 614 666 740 921 1110 1228 1332 1535 1665 1842 2220 2763 3070 3330 3684 4605 5526 6140 6660 9210 11052 11359 13815 18420 22718 27630 34077 45436 55260 56795 68154 102231 109171 113590 136308 170385 204462 218342 227180 327513 340770 408924 436684 511155 545855 655026 681540 982539 1022310 1091710 1310052 1637565 1965078 2044620 2183420 3275130 3930156 4039327 4912695 6550260 8078654 9825390 12117981 16157308 19650780 20196635 24235962 33515497 36353943 40393270 48471924 60589905 67030994 72707886 80786540 100546491 121179810 134061988 145415772 167577485 181769715 201092982 242359620 301639473 335154970 363539430 402185964 502732455 603278946 670309940 727078860 1005464910 1206557892 1240073389 1508197365 2010929820 2480146778 3016394730 3720220167 4960293556 6032789460 6200366945 7440440334 11160660501 12400733890 14880880668 18601100835 22321321002 24801467780 37202201670 44642642004 55803302505 74404403340 111606605010 223213210020