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232232223132 = 223271370888957
BaseRepresentation
bin1101100001001000011…
…1101000000110011100
3211012102122220021100100
43120102013220012130
512301102422120012
6254404102301100
722530634220010
oct3302207500634
9735378807310
10232232223132
118a542043538
1239012127790
1318b8ccb8760
14b350b94540
1560930328dc
hex36121e819c

232232223132 has 72 divisors (see below), whose sum is σ = 722500259936. Its totient is φ = 61248057984.

The previous prime is 232232223131. The next prime is 232232223133. The reversal of 232232223132 is 231322232232.

232232223132 is a `hidden beast` number, since 2 + 3 + 22 + 322 + 2 + 313 + 2 = 666.

232232223132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232232223131) and next prime (232232223133).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 232232223096 and 232232223105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232232223131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35441203 + ... + 35447754.

Almost surely, 2232232223132 is an apocalyptic number.

It is an amenable number.

232232223132 is an abundant number, since it is smaller than the sum of its proper divisors (490268036804).

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

232232223132 is a wasteful number, since it uses less digits than its factorization.

232232223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70888987 (or 70888982 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

Adding to 232232223132 its reverse (231322232232), we get a palindrome (463554455364).

The spelling of 232232223132 in words is "two hundred thirty-two billion, two hundred thirty-two million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 70888957 141777914 212666871 283555828 425333742 496222699 638000613 850667484 921556441 992445398 1276001226 1488668097 1843112882 1984890796 2552002452 2764669323 2977336194 3686225764 4466004291 5529338646 5954672388 6450895087 8294007969 8932008582 11058677292 12901790174 16588015938 17864017164 19352685261 25803580348 33176031876 38705370522 58058055783 77410741044 116116111566 232232223132