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232223313312 = 253319115312269
BaseRepresentation
bin1101100001000110010…
…1101000110110100000
3211012102001010121101000
43120101211220312200
512301043132011222
6254403143312000
722530465410604
oct3302145506640
9735361117330
10232223313312
118a538008451
123900b14b600
1318b8b1b9183
14b34d915504
1560923729ac
hex3611968da0

232223313312 has 192 divisors, whose sum is σ = 713642832000. Its totient is φ = 73264103424.

The previous prime is 232223313247. The next prime is 232223313347. The reversal of 232223313312 is 213313322232.

232223313312 is a `hidden beast` number, since 2 + 32 + 2 + 2 + 3 + 313 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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, 18921514 + ... + 18933782.

It is an arithmetic number, because the mean of its divisors is an integer number (3716889750).

Almost surely, 2232223313312 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 232223313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356821416000).

232223313312 is an abundant number, since it is smaller than the sum of its proper divisors (481419518688).

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

232223313312 is a wasteful number, since it uses less digits than its factorization.

232223313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13460 (or 13446 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 232223313312 its reverse (213313322232), we get a palindrome (445536635544).

The spelling of 232223313312 in words is "two hundred thirty-two billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred twelve".