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223076145132225 = 325271122414857023
BaseRepresentation
bin110010101110001011110110…
…011000110111001011000001
31002020211212112002212100012200
4302232023312120313023001
5213214334421123212400
62110235433305343413
764662501555465540
oct6256136630671301
91066755462770180
10223076145132225
1165096075386a00
1221029799797b69
139761cb469c268
143d12d2b97c157
151abcac84ceb00
hexcae2f66372c1

223076145132225 has 216 divisors, whose sum is σ = 504002034471936. Its totient is φ = 92322274176000.

The previous prime is 223076145132157. The next prime is 223076145132263. The reversal of 223076145132225 is 522231541670322.

223076145132225 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 7 + 614 + 5 + 1 + 3 + 2 + 2 + 25 = 666.

It is not a de Polignac number, because 223076145132225 - 212 = 223076145128129 is a prime.

It is a super-3 number, since 3×2230761451322253 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 43500064 + ... + 48357086.

Almost surely, 2223076145132225 is an apocalyptic number.

223076145132225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

223076145132225 is an abundant number, since it is smaller than the sum of its proper divisors (280925889339711).

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

223076145132225 is a wasteful number, since it uses less digits than its factorization.

223076145132225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857309 (or 4857290 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 223076145132225 in words is "two hundred twenty-three trillion, seventy-six billion, one hundred forty-five million, one hundred thirty-two thousand, two hundred twenty-five".