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223125004431 = 33747194787
BaseRepresentation
bin1100111111001101001…
…0010110000010001111
3210022220222001121221000
43033303102112002033
512123430000120211
6250300251111343
722056150150000
oct3176322260217
9708828047830
10223125004431
118669928030a
12372b0142553
131806b268054
14ab2942d1a7
155c0d727656
hex33f349608f

223125004431 has 80 divisors (see below), whose sum is σ = 386242214400. Its totient is φ = 127296075312.

The previous prime is 223125004409. The next prime is 223125004433. The reversal of 223125004431 is 134400521322.

223125004431 is a `hidden beast` number, since 223 + 1 + 2 + 5 + 0 + 0 + 4 + 431 = 666.

It is not a de Polignac number, because 223125004431 - 221 = 223122907279 is a prime.

It is a super-3 number, since 3×2231250044313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 223125004395 and 223125004404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223125004433) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46608220 + ... + 46613006.

It is an arithmetic number, because the mean of its divisors is an integer number (4828027680).

Almost surely, 2223125004431 is an apocalyptic number.

223125004431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

223125004431 is a deficient number, since it is larger than the sum of its proper divisors (163117209969).

223125004431 is an frugal number, since it uses more digits than its factorization.

223125004431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 223125004431 its reverse (134400521322), we get a palindrome (357525525753).

The spelling of 223125004431 in words is "two hundred twenty-three billion, one hundred twenty-five million, four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 719 1029 1323 2157 2401 3087 4787 5033 6471 7203 9261 14361 15099 19413 21609 33509 35231 43083 45297 64827 100527 105693 129249 135891 234563 246617 301581 317079 703689 739851 904743 951237 1641941 1726319 2111067 2219553 3441853 4925823 5178957 6333201 6658659 10325559 11493587 14777469 15536871 24092971 30976677 34480761 44332407 46610613 72278913 92930031 103442283 168650797 216836739 310326849 505952391 650510217 1180555579 1517857173 3541666737 4553571519 8263889053 10625000211 24791667159 31875000633 74375001477 223125004431