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9923233320 = 233357111367137
BaseRepresentation
bin10010011110111100…
…01000011000101000
3221121120022111001000
421033132020120220
5130310321431240
64320401155000
7500623043250
oct111736103050
927546274030
109923233320
114232452080
121b0b32ba60
13c21b1c9c0
146a1c9c960
153d1297430
hex24f788628

9923233320 has 1024 divisors, whose sum is σ = 45403545600. Its totient is φ = 1861263360.

The previous prime is 9923233297. The next prime is 9923233337. The reversal of 9923233320 is 233323299.

9923233320 is a `hidden beast` number, since 9 + 9 + 2 + 323 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72432292 + ... + 72432428.

It is an arithmetic number, because the mean of its divisors is an integer number (44339400).

Almost surely, 29923233320 is an apocalyptic number.

9923233320 is a gapful number since it is divisible by the number (90) 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 9923233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701772800).

9923233320 is an abundant number, since it is smaller than the sum of its proper divisors (35480312280).

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

9923233320 is a wasteful number, since it uses less digits than its factorization.

9923233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 9923233320 is about 99615.4271184941. The cubic root of 9923233320 is about 2148.9075625562.

The spelling of 9923233320 in words is "nine billion, nine hundred twenty-three million, two hundred thirty-three thousand, three hundred twenty".