Search a number
-
+
232106320 = 2456134733
BaseRepresentation
bin11011101010110…
…10100101010000
3121011202020000101
431311122211100
5433404400240
635010502144
75515604545
oct1565324520
9534666011
10232106320
1110a021a06
1265894954
1339118c24
1422b7cbcc
151559c39a
hexdd5a950

232106320 has 40 divisors (see below), whose sum is σ = 540641736. Its totient is φ = 92671488.

The previous prime is 232106311. The next prime is 232106323. The reversal of 232106320 is 23601232.

232106320 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 10810944 + 221295376 = 3288^2 + 14876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232106323) 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, 46674 + ... + 51406.

Almost surely, 2232106320 is an apocalyptic number.

232106320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232106320 is an abundant number, since it is smaller than the sum of its proper divisors (308535416).

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

232106320 is a wasteful number, since it uses less digits than its factorization.

232106320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 232106320 is about 15235.0359369448. The cubic root of 232106320 is about 614.5572153783.

Adding to 232106320 its reverse (23601232), we get a palindrome (255707552).

The spelling of 232106320 in words is "two hundred thirty-two million, one hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 613 1226 2452 3065 4733 4904 6130 9466 9808 12260 18932 23665 24520 37864 47330 49040 75728 94660 189320 378640 2901329 5802658 11605316 14506645 23210632 29013290 46421264 58026580 116053160 232106320