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232156115400 = 2335211101348269
BaseRepresentation
bin1101100000110110010…
…1010011000111001000
3211012020100200121011110
43120031211103013020
512300423431143100
6254352343130320
722526021264406
oct3301545230710
9735210617143
10232156115400
118a503090690
1238bb07439a0
1318b7a2bbbb1
14b344a22476
15608b4ec250
hex360d9531c8

232156115400 has 192 divisors, whose sum is σ = 792885412800. Its totient is φ = 55722880000.

The previous prime is 232156115393. The next prime is 232156115417. The reversal of 232156115400 is 4511651232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492466 + ... + 840734.

It is an arithmetic number, because the mean of its divisors is an integer number (4129611525).

Almost surely, 2232156115400 is an apocalyptic number.

232156115400 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 232156115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396442706400).

232156115400 is an abundant number, since it is smaller than the sum of its proper divisors (560729297400).

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

232156115400 is a wasteful number, since it uses less digits than its factorization.

232156115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348400 (or 348391 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 232156115400 its reverse (4511651232), we get a palindrome (236667766632).

The spelling of 232156115400 in words is "two hundred thirty-two billion, one hundred fifty-six million, one hundred fifteen thousand, four hundred".