Search a number
-
+
232013000 = 2353232013
BaseRepresentation
bin11011101010000…
…11110011001000
3121011120111000002
431311003303020
5433343404000
635004502132
75515035512
oct1565036310
9534514002
10232013000
11109a6888a
126584a948
13390b55cb
1422b56bb2
151557e8d5
hexdd43cc8

232013000 has 32 divisors (see below), whose sum is σ = 542912760. Its totient is φ = 92804800.

The previous prime is 232012997. The next prime is 232013017. The reversal of 232013000 is 310232.

232013000 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 100360324 + 131652676 = 10018^2 + 11474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115007 + ... + 117006.

Almost surely, 2232013000 is an apocalyptic number.

232013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232013000 is an abundant number, since it is smaller than the sum of its proper divisors (310899760).

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

232013000 is a wasteful number, since it uses less digits than its factorization.

232013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232034 (or 232020 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 232013000 is about 15231.9729516567. The cubic root of 232013000 is about 614.4748419684.

Adding to 232013000 its reverse (310232), we get a palindrome (232323232).

The spelling of 232013000 in words is "two hundred thirty-two million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 232013 464026 928052 1160065 1856104 2320130 4640260 5800325 9280520 11600650 23201300 29001625 46402600 58003250 116006500 232013000