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232140221104 = 2411330735507
BaseRepresentation
bin1101100000110010100…
…0101010101010110000
3211012012020210002021211
43120030220222222300
512300410344033404
6254351014325504
722525436215351
oct3301450525260
9735166702254
10232140221104
118a4a5115000
1238ba7359894
1318b76c1549c
14b342885d28
156089e0cb04
hex360ca2aab0

232140221104 has 80 divisors (see below), whose sum is σ = 496340482176. Its totient is φ = 105171612480.

The previous prime is 232140221081. The next prime is 232140221123. The reversal of 232140221104 is 401122041232.

232140221104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 6520119 + ... + 6555625.

Almost surely, 2232140221104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232140221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248170241088).

232140221104 is an abundant number, since it is smaller than the sum of its proper divisors (264200261072).

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

232140221104 is a wasteful number, since it uses less digits than its factorization.

232140221104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35855 (or 35827 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 232140221104 its reverse (401122041232), we get a palindrome (633262262336).

The spelling of 232140221104 in words is "two hundred thirty-two billion, one hundred forty million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 307 484 614 968 1228 1331 1936 2456 2662 3377 4912 5324 6754 10648 13508 21296 27016 35507 37147 54032 71014 74294 142028 148588 284056 297176 390577 408617 568112 594352 781154 817234 1562308 1634468 3124616 3268936 4296347 6249232 6537872 8592694 10900649 17185388 21801298 34370776 43602596 47259817 68741552 87205192 94519634 119907139 174410384 189039268 239814278 378078536 479628556 756157072 959257112 1318978529 1918514224 2637957058 5275914116 10551828232 14508763819 21103656464 29017527638 58035055276 116070110552 232140221104