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252234020 = 225120110501
BaseRepresentation
bin11110000100011…
…00100100100100
3122120121211000202
433002030210210
51004032442040
641010130032
76151645103
oct1702144444
9576554022
10252234020
1111a41a175
1270580918
13403454cc
14256dc03a
1517226015
hexf08c924

252234020 has 24 divisors (see below), whose sum is σ = 530182968. Its totient is φ = 100800000.

The previous prime is 252234019. The next prime is 252234023. The reversal of 252234020 is 20432252.

It can be written as a sum of positive squares in 4 ways, for example, as 6120676 + 246113344 = 2474^2 + 15688^2 .

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 252233983 and 252234001.

It is not an unprimeable number, because it can be changed into a prime (252234023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18770 + ... + 29270.

It is an arithmetic number, because the mean of its divisors is an integer number (22090957).

Almost surely, 2252234020 is an apocalyptic number.

252234020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252234020 is an abundant number, since it is smaller than the sum of its proper divisors (277948948).

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

252234020 is a wasteful number, since it uses less digits than its factorization.

252234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11711 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 252234020 is about 15881.8770930895. The cubic root of 252234020 is about 631.8314223511.

Adding to 252234020 its reverse (20432252), we get a palindrome (272666272).

The spelling of 252234020 in words is "two hundred fifty-two million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 1201 2402 4804 6005 10501 12010 21002 24020 42004 52505 105010 210020 12611701 25223402 50446804 63058505 126117010 252234020