Search a number
-
+
232025411200 = 27521117387743
BaseRepresentation
bin1101100000010111001…
…0101100111010000000
3211011220020202010201011
43120011302230322000
512300142001124300
6254331353450304
722522543311532
oct3300562547200
9734806663634
10232025411200
118a446328690
1238b74a10994
1318b591b7a2b
14b33151b852
15607ecceeba
hex3605cace80

232025411200 has 192 divisors, whose sum is σ = 662065125120. Its totient is φ = 79409561600.

The previous prime is 232025411197. The next prime is 232025411227. The reversal of 232025411200 is 2114520232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 404529 + ... + 792271.

It is an arithmetic number, because the mean of its divisors is an integer number (3448255860).

Almost surely, 2232025411200 is an apocalyptic number.

232025411200 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 232025411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331032562560).

232025411200 is an abundant number, since it is smaller than the sum of its proper divisors (430039713920).

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

232025411200 is a wasteful number, since it uses less digits than its factorization.

232025411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387795 (or 387778 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 232025411200 its reverse (2114520232), we get a palindrome (234139931432).

The spelling of 232025411200 in words is "two hundred thirty-two billion, twenty-five million, four hundred eleven thousand, two hundred".