Search a number
-
+
223223014120 = 235231739471481
BaseRepresentation
bin1100111111100100100…
…0001110001011101000
3210100011210111000221111
43033321020032023220
512124130042422440
6250314111520104
722061450212351
oct3177110161350
9710153430844
10223223014120
1186739632457
1237318b29034
1318085662952
14ab38462d28
155c171374ea
hex33f920e2e8

223223014120 has 128 divisors (see below), whose sum is σ = 528031146240. Its totient is φ = 84766443520.

The previous prime is 223223014109. The next prime is 223223014127. The reversal of 223223014120 is 21410322322.

223223014120 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 3×2232230141203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223223014091 and 223223014100.

It is not an unprimeable number, because it can be changed into a prime (223223014127) 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 31 ways as a sum of consecutive naturals, for example, 150723780 + ... + 150725260.

It is an arithmetic number, because the mean of its divisors is an integer number (4125243330).

Almost surely, 2223223014120 is an apocalyptic number.

223223014120 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 223223014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264015573120).

223223014120 is an abundant number, since it is smaller than the sum of its proper divisors (304808132120).

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

223223014120 is a wasteful number, since it uses less digits than its factorization.

223223014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 223223014120 its reverse (21410322322), we get a palindrome (244633336442).

The spelling of 223223014120 in words is "two hundred twenty-three billion, two hundred twenty-three million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 173 184 230 346 460 692 865 920 947 1384 1481 1730 1894 2962 3460 3788 3979 4735 5924 6920 7405 7576 7958 9470 11848 14810 15916 18940 19895 21781 29620 31832 34063 37880 39790 43562 59240 68126 79580 87124 108905 136252 159160 163831 170315 174248 217810 256213 272504 327662 340630 435620 512426 655324 681260 819155 871240 1024852 1281065 1310648 1362520 1402507 1638310 2049704 2562130 2805014 3276620 3768113 5124260 5610028 5892899 6553240 7012535 7536226 10248520 11220056 11785798 14025070 15072452 18840565 23571596 28050140 29464495 30144904 32257661 37681130 47143192 56100280 58928990 64515322 75362260 117857980 129030644 150724520 161288305 235715960 242633711 258061288 322576610 485267422 645153220 970534844 1213168555 1290306440 1941069688 2426337110 4852674220 5580575353 9705348440 11161150706 22322301412 27902876765 44644602824 55805753530 111611507060 223223014120