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213252552 = 233217212
BaseRepresentation
bin11001011010111…
…11100111001000
3112212021100111200
430231133213020
5414043040202
633054424200
75166421362
oct1455374710
9485240450
10213252552
11aa414887
125b502060
1335247456
1420471d32
1513ac5e1c
hexcb5f9c8

213252552 has 36 divisors (see below), whose sum is σ = 577894785. Its totient is φ = 71042880.

The previous prime is 213252509. The next prime is 213252553. The reversal of 213252552 is 255252312.

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.

213252552 is a `hidden beast` number, since 2 + 132 + 525 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200335716 + 12916836 = 14154^2 + 3594^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10326.

It is not an unprimeable number, because it can be changed into a prime (213252553) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123052 + ... + 124772.

Almost surely, 2213252552 is an apocalyptic number.

It is an amenable number.

213252552 is an abundant number, since it is smaller than the sum of its proper divisors (364642233).

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

213252552 is an equidigital number, since it uses as much as digits as its factorization.

213252552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 1726 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 213252552 is about 14603.1692450646. The cubic root of 213252552 is about 597.4452038006.

The spelling of 213252552 in words is "two hundred thirteen million, two hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1721 3442 5163 6884 10326 13768 15489 20652 30978 41304 61956 123912 2961841 5923682 8885523 11847364 17771046 23694728 26656569 35542092 53313138 71084184 106626276 213252552