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223254538672 = 241122931128273
BaseRepresentation
bin1100111111101100000…
…0011110100110110000
3210100020222210122111111
43033323000132212300
512124211130214142
6250321155323104
722062312160564
oct3177300364660
9710228718444
10223254538672
1186755404300
12373275b0494
131808c04c829
14ab3c70b6a4
155c19cb2e17
hex33fb01e9b0

223254538672 has 120 divisors (see below), whose sum is σ = 507718753920. Its totient is φ = 94818662400.

The previous prime is 223254538651. The next prime is 223254538681. The reversal of 223254538672 is 276835452322.

It is a super-3 number, since 3×2232545386723 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676328 + ... + 1804600.

It is an arithmetic number, because the mean of its divisors is an integer number (4230989616).

Almost surely, 2223254538672 is an apocalyptic number.

223254538672 is a gapful number since it is divisible by the number (22) 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 223254538672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253859376960).

223254538672 is an abundant number, since it is smaller than the sum of its proper divisors (284464215248).

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

223254538672 is a wasteful number, since it uses less digits than its factorization.

223254538672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128363 (or 128346 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 49.

The spelling of 223254538672 in words is "two hundred twenty-three billion, two hundred fifty-four million, five hundred thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 31 44 58 62 88 116 121 124 176 232 242 248 319 341 464 484 496 638 682 899 968 1276 1364 1798 1936 2552 2728 3509 3596 3751 5104 5456 7018 7192 7502 9889 14036 14384 15004 19778 28072 30008 39556 56144 60016 79112 108779 128273 158224 217558 256546 435116 513092 870232 1026184 1411003 1740464 2052368 2822006 3719917 3976463 5644012 7439834 7952926 11288024 14879668 15521033 15905852 22576048 29759336 31042066 31811704 40919087 43741093 59518672 62084132 63623408 81838174 87482186 115317427 124168264 163676348 174964372 230634854 248336528 327352696 349928744 450109957 461269708 481152023 654705392 699857488 900219914 922539416 962304046 1268491697 1800439828 1845078832 1924608092 2536983394 3600879656 3849216184 5073966788 7201759312 7698432368 10147933576 13953408667 20295867152 27906817334 55813634668 111627269336 223254538672