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232132420 = 22513892817
BaseRepresentation
bin11011101011000…
…00111101000100
3121011210112211001
431311200331010
5433411214140
635011223044
75516043622
oct1565407504
9534715731
10232132420
1110a03a583
12658a7a84
1339127a80
1422b88512
15155a4e9a
hexdd60f44

232132420 has 24 divisors (see below), whose sum is σ = 524976984. Its totient is φ = 85710336.

The previous prime is 232132409. The next prime is 232132427. The reversal of 232132420 is 24231232.

232132420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48692484 + 183439936 = 6978^2 + 13544^2 .

It is not an unprimeable number, because it can be changed into a prime (232132427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446149 + ... + 446668.

It is an arithmetic number, because the mean of its divisors is an integer number (21874041).

Almost surely, 2232132420 is an apocalyptic number.

232132420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232132420 is an abundant number, since it is smaller than the sum of its proper divisors (292844564).

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

232132420 is a wasteful number, since it uses less digits than its factorization.

232132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892839 (or 892837 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 232132420 is about 15235.8924910883. The cubic root of 232132420 is about 614.5802498540.

Adding to 232132420 its reverse (24231232), we get a palindrome (256363652).

The spelling of 232132420 in words is "two hundred thirty-two million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 892817 1785634 3571268 4464085 8928170 11606621 17856340 23213242 46426484 58033105 116066210 232132420