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252522320 = 2453156529
BaseRepresentation
bin11110000110100…
…10111101010000
3122121011110111112
433003102331100
51004121203240
641020232452
76154255451
oct1703227520
9577143445
10252522320
1111a5a6836
127069b728
13404167bb
1425775128
1517281665
hexf0d2f50

252522320 has 20 divisors (see below), whose sum is σ = 587114580. Its totient is φ = 101008896.

The previous prime is 252522317. The next prime is 252522323. The reversal of 252522320 is 23225252.

It is a happy number.

252522320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252522317) and next prime (252522323).

It can be written as a sum of positive squares in 2 ways, for example, as 164762896 + 87759424 = 12836^2 + 9368^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252522323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1578185 + ... + 1578344.

It is an arithmetic number, because the mean of its divisors is an integer number (29355729).

Almost surely, 2252522320 is an apocalyptic number.

252522320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252522320 is an abundant number, since it is smaller than the sum of its proper divisors (334592260).

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

252522320 is a wasteful number, since it uses less digits than its factorization.

252522320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156542 (or 3156536 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 252522320 is about 15890.9508840724. The cubic root of 252522320 is about 632.0720555563.

Adding to 252522320 its reverse (23225252), we get a palindrome (275747572).

It can be divided in two parts, 25252 and 2320, that added together give a palindrome (27572).

The spelling of 252522320 in words is "two hundred fifty-two million, five hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3156529 6313058 12626116 15782645 25252232 31565290 50504464 63130580 126261160 252522320