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232223311320 = 2335711213181971
BaseRepresentation
bin1101100001000110010…
…1101000010111011000
3211012102001010111122020
43120101211220113120
512301043131430240
6254403143254440
722530465402030
oct3302145502730
9735361114566
10232223311320
118a538006a00
123900b14a420
1318b8b1b82b0
14b34d9148c0
1560923720d0
hex36119685d8

232223311320 has 768 divisors, whose sum is σ = 948658314240. Its totient is φ = 44250624000.

The previous prime is 232223311319. The next prime is 232223311361. The reversal of 232223311320 is 23113322232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 239158435 + ... + 239159405.

It is an arithmetic number, because the mean of its divisors is an integer number (1235232180).

Almost surely, 2232223311320 is an apocalyptic number.

232223311320 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 232223311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474329157120).

232223311320 is an abundant number, since it is smaller than the sum of its proper divisors (716435002920).

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

232223311320 is a wasteful number, since it uses less digits than its factorization.

232223311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 232223311320 its reverse (23113322232), we get a palindrome (255336633552).

The spelling of 232223311320 in words is "two hundred thirty-two billion, two hundred twenty-three million, three hundred eleven thousand, three hundred twenty".