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224657262252 = 22326240479507
BaseRepresentation
bin1101000100111010011…
…1011100011010101100
3210110212202021101111200
43101032213130122230
512140044224343002
6251112304445500
722142134135653
oct3211647343254
9713782241450
10224657262252
1187305193295
1237659319890
1318253842b97
14ac32b2c19a
155c9cee4b1c
hex344e9dc6ac

224657262252 has 18 divisors (see below), whose sum is σ = 567883635228. Its totient is φ = 74885754072.

The previous prime is 224657262197. The next prime is 224657262253. The reversal of 224657262252 is 252262756422.

224657262252 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 572 + 6 + 22 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2246572622522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224657262198 and 224657262207.

It is not an unprimeable number, because it can be changed into a prime (224657262253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3120239718 + ... + 3120239789.

It is an arithmetic number, because the mean of its divisors is an integer number (31549090846).

Almost surely, 2224657262252 is an apocalyptic number.

It is an amenable number.

224657262252 is an abundant number, since it is smaller than the sum of its proper divisors (343226372976).

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

224657262252 is a wasteful number, since it uses less digits than its factorization.

224657262252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6240479517 (or 6240479512 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 224657262252 in words is "two hundred twenty-four billion, six hundred fifty-seven million, two hundred sixty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6240479507 12480959014 18721438521 24961918028 37442877042 56164315563 74885754084 112328631126 224657262252