Search a number
-
+
232513536 = 21339461
BaseRepresentation
bin11011101101111…
…10000000000000
3121012111220121110
431312332000000
5434010413121
635023323320
75522222013
oct1566760000
9535456543
10232513536
1110a27a952
1265a50540
133922c398
1422c4737a
151562cd76
hexddbe000

232513536 has 56 divisors (see below), whose sum is σ = 620063784. Its totient is φ = 77496320.

The previous prime is 232513499. The next prime is 232513537. The reversal of 232513536 is 635315232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232513537) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19846 + ... + 29306.

Almost surely, 2232513536 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 232513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310031892).

232513536 is an abundant number, since it is smaller than the sum of its proper divisors (387550248).

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

232513536 is an frugal number, since it uses more digits than its factorization.

232513536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9490 (or 9466 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

The square root of 232513536 is about 15248.3945384424. The cubic root of 232513536 is about 614.9164061144.

Adding to 232513536 its reverse (635315232), we get a palindrome (867828768).

The spelling of 232513536 in words is "two hundred thirty-two million, five hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 9461 12288 18922 24576 28383 37844 56766 75688 113532 151376 227064 302752 454128 605504 908256 1211008 1816512 2422016 3633024 4844032 7266048 9688064 14532096 19376128 29064192 38752256 58128384 77504512 116256768 232513536