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223114444630331 = 41101193307909341
BaseRepresentation
bin110010101110101111100001…
…001101110110100100111011
31002020222112101021010102122112
4302232233201031312210323
5213221001340311132311
62110305205540442535
764665325634034062
oct6256574115664473
91066875337112575
10223114444630331
1165100339459781
12210350a80a944b
1397657a935a987
143d14b223731d9
151abdabaa6428b
hexcaebe137693b

223114444630331 has 32 divisors (see below), whose sum is σ = 232771153640256. Its totient is φ = 213702174720000.

The previous prime is 223114444630237. The next prime is 223114444630369. The reversal of 223114444630331 is 133036444411322.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223114444630331 is a prime.

It is a super-3 number, since 3×2231144446303313 (a number of 44 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 (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223114444633331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244903721 + ... + 245813061.

It is an arithmetic number, because the mean of its divisors is an integer number (7274098551258).

Almost surely, 2223114444630331 is an apocalyptic number.

223114444630331 is a deficient number, since it is larger than the sum of its proper divisors (9656709009925).

223114444630331 is a wasteful number, since it uses less digits than its factorization.

223114444630331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909983.

The product of its (nonzero) digits is 497664, while the sum is 41.

The spelling of 223114444630331 in words is "two hundred twenty-three trillion, one hundred fourteen billion, four hundred forty-four million, six hundred thirty thousand, three hundred thirty-one".

Divisors: 1 41 101 193 307 4141 7913 12587 19493 31007 59251 799213 909341 1271287 2429291 5984351 37282981 91843441 175502813 245358391 279167687 3765581081 7195615333 11445875167 17725784113 28195936387 53879363591 726757148633 1156033391867 2209053907231 5441815722691 223114444630331