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232204532 = 22727316229
BaseRepresentation
bin11011101011100…
…10100011110100
3121011221012201212
431311302203310
5433421021112
635012540552
75516464100
oct1565624364
9534835655
10232204532
1110a08977a
1265921758
1339151841
1422ba6900
15155bb522
hexdd728f4

232204532 has 36 divisors (see below), whose sum is σ = 479206980. Its totient is φ = 98146944.

The previous prime is 232204523. The next prime is 232204549. The reversal of 232204532 is 235402232.

It can be written as a sum of positive squares in 2 ways, for example, as 190550416 + 41654116 = 13804^2 + 6454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232204498 and 232204507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6194 + ... + 22422.

It is an arithmetic number, because the mean of its divisors is an integer number (13311305).

Almost surely, 2232204532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232204532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239603490).

232204532 is an abundant number, since it is smaller than the sum of its proper divisors (247002448).

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

232204532 is a wasteful number, since it uses less digits than its factorization.

232204532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16320 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 232204532 is about 15238.2588244195. The cubic root of 232204532 is about 614.6438831063.

Adding to 232204532 its reverse (235402232), we get a palindrome (467606764).

The spelling of 232204532 in words is "two hundred thirty-two million, two hundred four thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 2044 3577 7154 14308 16229 32458 64916 113603 227206 454412 795221 1184717 1590442 2369434 3180884 4738868 8293019 16586038 33172076 58051133 116102266 232204532