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223563145125051 = 33163122114160041
BaseRepresentation
bin110010110101010001011001…
…110110011001110010111011
31002022120102112222021021011000
4302311101121312121302323
5213300324310123000201
62111251254021340043
765042622101230524
oct6265213166316273
91068512488237130
10223563145125051
1165263663164616
12210a8050b67623
139798bb6444ca4
143d2c72a43384b
151aca5ccbadd86
hexcb5459d99cbb

223563145125051 has 32 divisors (see below), whose sum is σ = 333263959850240. Its totient is φ = 148115561774400.

The previous prime is 223563145124941. The next prime is 223563145125053. The reversal of 223563145125051 is 150521541365322.

223563145125051 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 6 + 31 + 4 + 512 + 50 + 51 = 666.

It is not a de Polignac number, because 223563145125051 - 218 = 223563144862907 is a prime.

It is a super-2 number, since 2×2235631451250512 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223563145124988 and 223563145125006.

It is not an unprimeable number, because it can be changed into a prime (223563145125053) 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, 51660591 + ... + 55820631.

It is an arithmetic number, because the mean of its divisors is an integer number (10414498745320).

Almost surely, 2223563145125051 is an apocalyptic number.

223563145125051 is a deficient number, since it is larger than the sum of its proper divisors (109700814725189).

223563145125051 is a wasteful number, since it uses less digits than its factorization.

223563145125051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172424 (or 4172418 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 223563145125051 in words is "two hundred twenty-three trillion, five hundred sixty-three billion, one hundred forty-five million, one hundred twenty-five thousand, fifty-one".

Divisors: 1 3 9 27 163 489 1467 4401 12211 36633 109899 329697 1990393 4160041 5971179 12480123 17913537 37440369 53740611 112321107 678086683 2034260049 6102780147 18308340441 50798260651 152394781953 457184345859 1371553037577 8280116486113 24840349458339 74521048375017 223563145125051