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223202320230 = 235416116971753
BaseRepresentation
bin1100111111011111100…
…1010001111101100110
3210100010100112200021010
43033313321101331212
512124104243221410
6250312052203050
722061106263331
oct3176771217546
9710110480233
10223202320230
118672898886a
1237312009486
1318081298746
14ab357d7618
155c153eac20
hex33f7e51f66

223202320230 has 128 divisors (see below), whose sum is σ = 558394010496. Its totient is φ = 57050726400.

The previous prime is 223202320183. The next prime is 223202320247. The reversal of 223202320230 is 32023202322.

It is a super-3 number, since 3×2232023202303 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223202320197 and 223202320206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127325034 + ... + 127326786.

It is an arithmetic number, because the mean of its divisors is an integer number (4362453207).

Almost surely, 2223202320230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223202320230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279197005248).

223202320230 is an abundant number, since it is smaller than the sum of its proper divisors (335191690266).

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

223202320230 is a wasteful number, since it uses less digits than its factorization.

223202320230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562.

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 223202320230 its reverse (32023202322), we get a palindrome (255225522552).

It can be divided in two parts, 2 and 23202320230, that added together give a palindrome (23202320232).

The spelling of 223202320230 in words is "two hundred twenty-three billion, two hundred two million, three hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 61 82 122 123 183 205 246 305 366 410 610 615 915 1230 1697 1753 1830 2501 3394 3506 5002 5091 5259 7503 8485 8765 10182 10518 12505 15006 16970 17530 25010 25455 26295 37515 50910 52590 69577 71873 75030 103517 106933 139154 143746 207034 208731 213866 215619 310551 320799 347885 359365 417462 431238 517585 534665 621102 641598 695770 718730 1035170 1043655 1069330 1078095 1552755 1603995 2087310 2156190 2974841 3105510 3207990 4244197 4384253 5949682 8488394 8768506 8924523 12732591 13152759 14874205 17849046 21220985 21921265 25465182 26305518 29748410 42441970 43842530 44622615 63662955 65763795 89245230 121968481 127325910 131527590 181465301 243936962 362930602 365905443 544395903 609842405 731810886 907326505 1088791806 1219684810 1814653010 1829527215 2721979515 3659054430 5443959030 7440077341 14880154682 22320232023 37200386705 44640464046 74400773410 111601160115 223202320230