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223545504 = 25371325589
BaseRepresentation
bin11010101001100…
…00100010100000
3120120122021210010
431110300202200
5424211424004
634103204520
75353051110
oct1524604240
9516567703
10223545504
11105205056
1262a46740
133740c460
1421991040
151495aa89
hexd5308a0

223545504 has 96 divisors (see below), whose sum is σ = 722252160. Its totient is φ = 58954752.

The previous prime is 223545493. The next prime is 223545587. The reversal of 223545504 is 405545322.

223545504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2235455042 = 99945184717228032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4059 + ... + 21530.

It is an arithmetic number, because the mean of its divisors is an integer number (7523460).

Almost surely, 2223545504 is an apocalyptic number.

223545504 is a gapful number since it is divisible by the number (24) 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 223545504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361126080).

223545504 is an abundant number, since it is smaller than the sum of its proper divisors (498706656).

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

223545504 is a wasteful number, since it uses less digits than its factorization.

223545504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25622 (or 25614 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 223545504 is about 14951.4381916925. The cubic root of 223545504 is about 606.9067669899.

The spelling of 223545504 in words is "two hundred twenty-three million, five hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 25589 51178 76767 102356 153534 179123 204712 307068 332657 358246 409424 537369 614136 665314 716492 818848 997971 1074738 1228272 1330628 1432984 1995942 2149476 2328599 2456544 2661256 2865968 3991884 4298952 4657198 5322512 5731936 6985797 7983768 8597904 9314396 10645024 13971594 15967536 17195808 18628792 27943188 31935072 37257584 55886376 74515168 111772752 223545504