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232332412224 = 263111919130313
BaseRepresentation
bin1101100001100000010…
…1110100010101000000
3211012200122102101221110
43120120011310111000
512301304044142344
6254422041523320
722533261630333
oct3303005642500
9735618371843
10232332412224
118a593654040
123903b7a3540
1318ba7997343
14b3601d461a
15609bc233b9
hex3618174540

232332412224 has 224 divisors, whose sum is σ = 709609512960. Its totient is φ = 66346905600.

The previous prime is 232332412219. The next prime is 232332412231. The reversal of 232332412224 is 422214233232.

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 = 232332412191 and 232332412200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7649292 + ... + 7679604.

Almost surely, 2232332412224 is an apocalyptic number.

232332412224 is a gapful number since it is divisible by the number (24) 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 232332412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354804756480).

232332412224 is an abundant number, since it is smaller than the sum of its proper divisors (477277100736).

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

232332412224 is a wasteful number, since it uses less digits than its factorization.

232332412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30549 (or 30539 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 232332412224 its reverse (422214233232), we get a palindrome (654546645456).

The spelling of 232332412224 in words is "two hundred thirty-two billion, three hundred thirty-two million, four hundred twelve thousand, two hundred twenty-four".