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252211024 = 24134725799
BaseRepresentation
bin11110000100001…
…10111101010000
3122120120122111001
433002012331100
51004031223044
641005431344
76151521052
oct1702067520
9576518431
10252211024
1111a40396a
127056b554
1340337bc0
14256d38d2
151721e2d4
hexf086f50

252211024 has 40 divisors (see below), whose sum is σ = 537465600. Its totient is φ = 113923968.

The previous prime is 252211019. The next prime is 252211033. The reversal of 252211024 is 420112252.

It is a super-2 number, since 2×2522110242 = 127220801254257152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252210992 and 252211010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3124 + ... + 22675.

It is an arithmetic number, because the mean of its divisors is an integer number (13436640).

Almost surely, 2252211024 is an apocalyptic number.

It is an amenable number.

252211024 is an abundant number, since it is smaller than the sum of its proper divisors (285254576).

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

252211024 is a wasteful number, since it uses less digits than its factorization.

252211024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25867 (or 25861 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 252211024 is about 15881.1531067489. The cubic root of 252211024 is about 631.8122205572.

Adding to 252211024 its reverse (420112252), we get a palindrome (672323276).

The spelling of 252211024 in words is "two hundred fifty-two million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 1222 2444 4888 9776 25799 51598 103196 206392 335387 412784 670774 1212553 1341548 2425106 2683096 4850212 5366192 9700424 15763189 19400848 31526378 63052756 126105512 252211024