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252334433252 = 221117418227939
BaseRepresentation
bin1110101100000001001…
…1011110001111100100
3220010022121202100112002
43223000103132033210
513113240103331002
6311530522344432
724142040202416
oct3530023361744
9803277670462
10252334433252
1198018233530
1240aa235b118
131aa448cbb45
14c2da8849b6
15686cc3d002
hex3ac04de3e4

252334433252 has 48 divisors (see below), whose sum is σ = 522507101760. Its totient is φ = 105317606400.

The previous prime is 252334433251. The next prime is 252334433311.

252334433252 is nontrivially palindromic in base 10.

252334433252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252334433251) 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 15 ways as a sum of consecutive naturals, for example, 4083302 + ... + 4144637.

It is an arithmetic number, because the mean of its divisors is an integer number (10885564620).

Almost surely, 2252334433252 is an apocalyptic number.

252334433252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252334433252 is an abundant number, since it is smaller than the sum of its proper divisors (270172668508).

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

252334433252 is a wasteful number, since it uses less digits than its factorization.

252334433252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228012 (or 8228010 counting only the distinct ones).

The product of its digits is 518400, while the sum is 38.

It can be divided in two parts, 252334 and 433252, that added together give a palindrome (685586).

The spelling of 252334433252 in words is "two hundred fifty-two billion, three hundred thirty-four million, four hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 11 17 22 34 41 44 68 82 164 187 374 451 697 748 902 1394 1804 2788 7667 15334 30668 8227939 16455878 32911756 90507329 139874963 181014658 279749926 337345499 362029316 559499852 674690998 1349381996 1538624593 3077249186 3710800489 5734873483 6154498372 7421600978 11469746966 14843201956 22939493932 63083608313 126167216626 252334433252