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252450145224 = 23323506252017
BaseRepresentation
bin1110101100011100110…
…0111000001111001000
3220010121200111010111200
43223013030320033020
513114004214121344
6311550214424200
724144643554204
oct3530714701710
9803550433450
10252450145224
1198077586662
1240b15062060
131aa62884074
14c30bda5b04
156877e98069
hex3ac73383c8

252450145224 has 24 divisors (see below), whose sum is σ = 683719143510. Its totient is φ = 84150048384.

The previous prime is 252450145169. The next prime is 252450145229. The reversal of 252450145224 is 422541054252.

252450145224 is a `hidden beast` number, since 2 + 524 + 50 + 14 + 52 + 24 = 666.

252450145224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 251019036324 + 1431108900 = 501018^2 + 37830^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252450145229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1753125937 + ... + 1753126080.

Almost surely, 2252450145224 is an apocalyptic number.

252450145224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252450145224 is an abundant number, since it is smaller than the sum of its proper divisors (431268998286).

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

252450145224 is a wasteful number, since it uses less digits than its factorization.

252450145224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506252029 (or 3506252022 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 252450145224 its reverse (422541054252), we get a palindrome (674991199476).

The spelling of 252450145224 in words is "two hundred fifty-two billion, four hundred fifty million, one hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3506252017 7012504034 10518756051 14025008068 21037512102 28050016136 31556268153 42075024204 63112536306 84150048408 126225072612 252450145224