Search a number
-
+
232133211200 = 26521115798353
BaseRepresentation
bin1101100000110000110…
…1111011010001000000
3211012011202120221111202
43120030031323101000
512300402100224300
6254350204200332
722525322511332
oct3301415732100
9735152527452
10232133211200
118a4a11673a0
1238ba4b390a8
1318b7562c907
14b34197d452
1560894c5ad5
hex360c37b440

232133211200 has 168 divisors, whose sum is σ = 623588674080. Its totient is φ = 84348518400.

The previous prime is 232133211179. The next prime is 232133211221. The reversal of 232133211200 is 2112331232.

It is an interprime number because it is at equal distance from previous prime (232133211179) and next prime (232133211221).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27786224 + ... + 27794576.

Almost surely, 2232133211200 is an apocalyptic number.

232133211200 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 232133211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311794337040).

232133211200 is an abundant number, since it is smaller than the sum of its proper divisors (391455462880).

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

232133211200 is a wasteful number, since it uses less digits than its factorization.

232133211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 232133211200 its reverse (2112331232), we get a palindrome (234245542432).

The spelling of 232133211200 in words is "two hundred thirty-two billion, one hundred thirty-three million, two hundred eleven thousand, two hundred".