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232045540 = 225311312857
BaseRepresentation
bin11011101010010…
…11101111100100
3121011122010122021
431311023233210
5433400424130
635005312524
75515232416
oct1565135744
9534563567
10232045540
11109a90281
1265865744
13390c736c
1422b649b6
151558937a
hexdd4bbe4

232045540 has 48 divisors (see below), whose sum is σ = 507032064. Its totient is φ = 89107200.

The previous prime is 232045523. The next prime is 232045573. The reversal of 232045540 is 45540232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79792 + ... + 82648.

It is an arithmetic number, because the mean of its divisors is an integer number (10563168).

Almost surely, 2232045540 is an apocalyptic number.

232045540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232045540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253516032).

232045540 is an abundant number, since it is smaller than the sum of its proper divisors (274986524).

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

232045540 is a wasteful number, since it uses less digits than its factorization.

232045540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 232045540 is about 15233.0410621123. The cubic root of 232045540 is about 614.5035674804.

Adding to 232045540 its reverse (45540232), we get a palindrome (277585772).

The spelling of 232045540 in words is "two hundred thirty-two million, forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 131 155 262 310 524 620 655 1310 2620 2857 4061 5714 8122 11428 14285 16244 20305 28570 40610 57140 81220 88567 177134 354268 374267 442835 748534 885670 1497068 1771340 1871335 3742670 7485340 11602277 23204554 46409108 58011385 116022770 232045540