Search a number
-
+
23133031200 = 2532523978093
BaseRepresentation
bin10101100010110101…
…100000101100100000
32012201011212202002100
4111202311200230200
5334334023444300
614343245050400
71446154343436
oct254265405440
965634782070
1023133031200
1198a0aa1804
124597256a00
1322487c9556
14119643ad56
15905d3b700
hex562d60b20

23133031200 has 216 divisors, whose sum is σ = 81788429268. Its totient is φ = 6152509440.

The previous prime is 23133031153. The next prime is 23133031217. The reversal of 23133031200 is 213033132.

23133031200 is a `hidden beast` number, since 23 + 1 + 330 + 312 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9581277456 + 13551753744 = 97884^2 + 116412^2 .

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 35 ways as a sum of consecutive naturals, for example, 2854354 + ... + 2862446.

Almost surely, 223133031200 is an apocalyptic number.

23133031200 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 23133031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40894214634).

23133031200 is an abundant number, since it is smaller than the sum of its proper divisors (58655398068).

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

23133031200 is a wasteful number, since it uses less digits than its factorization.

23133031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23133031200 its reverse (213033132), we get a palindrome (23346064332).

The spelling of 23133031200 in words is "twenty-three billion, one hundred thirty-three million, thirty-one thousand, two hundred".