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252371022152 = 2347237792
BaseRepresentation
bin1110101100001001111…
…1000011000101001000
3220010102011121021001112
43223002133003011020
513113323440202102
6311534310505452
724142663202534
oct3530237030510
9803364537045
10252371022152
1198036954297
1240ab2665288
131aa4c36cb92
14c30168abc4
156871069252
hex3ac27c3148

252371022152 has 36 divisors (see below), whose sum is σ = 483605843955. Its totient is φ = 123468032176.

The previous prime is 252371022149. The next prime is 252371022161. The reversal of 252371022152 is 251220173252.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 126185511076 + 126185511076 = 355226^2 + 355226^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=355226.

It is a super-2 number, since 2×2523710221522 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66780599 + ... + 66784377.

Almost surely, 2252371022152 is an apocalyptic number.

It is an amenable number.

252371022152 is a deficient number, since it is larger than the sum of its proper divisors (231234821803).

252371022152 is an frugal number, since it uses more digits than its factorization.

252371022152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

Multiplying 252371022152 by its sum of digits (32), we get a square (8075872708864 = 28418082).

The spelling of 252371022152 in words is "two hundred fifty-two billion, three hundred seventy-one million, twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 47 94 188 376 2209 3779 4418 7558 8836 15116 17672 30232 177613 355226 710452 1420904 8347811 14280841 16695622 28561682 33391244 57123364 66782488 114246728 671199527 1342399054 2684798108 5369596216 31546377769 63092755538 126185511076 252371022152