Search a number
-
+
232511040 = 26335171583
BaseRepresentation
bin11011101101111…
…01011001000000
3121012111210012000
431312331121000
5434010323130
635023304000
75522211516
oct1566753100
9535453160
10232511040
1110a278a93
1265a4b000
133922b1c8
1422c464b6
151562c260
hexddbd640

232511040 has 224 divisors, whose sum is σ = 869045760. Its totient is φ = 58318848.

The previous prime is 232511033. The next prime is 232511063. The reversal of 232511040 is 40115232.

It is a super-2 number, since 2×2325110402 = 108122767443763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146089 + ... + 147671.

Almost surely, 2232511040 is an apocalyptic number.

232511040 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 232511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434522880).

232511040 is an abundant number, since it is smaller than the sum of its proper divisors (636534720).

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

232511040 is a wasteful number, since it uses less digits than its factorization.

232511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 232511040 is about 15248.3126935409. The cubic root of 232511040 is about 614.9142057596.

Adding to 232511040 its reverse (40115232), we get a palindrome (272626272).

The spelling of 232511040 in words is "two hundred thirty-two million, five hundred eleven thousand, forty".