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2329013120 = 27572233229
BaseRepresentation
bin1000101011010001…
…1110101110000000
320000022110010101012
42022310132232000
514232211404440
61023034500052
7111500166500
oct21264365600
96008403335
102329013120
11a95738035
1254bb94628
132b1692b95
14181461a00
15d9702e65
hex8ad1eb80

2329013120 has 192 divisors, whose sum is σ = 6760519200. Its totient is φ = 763564032.

The previous prime is 2329013101. The next prime is 2329013129. The reversal of 2329013120 is 213109232.

It is a super-2 number, since 2×23290131202 = 10848604226264268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2329013129) 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, 719666 + ... + 722894.

Almost surely, 22329013120 is an apocalyptic number.

2329013120 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 2329013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380259600).

2329013120 is an abundant number, since it is smaller than the sum of its proper divisors (4431506080).

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

2329013120 is a wasteful number, since it uses less digits than its factorization.

2329013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2329013120 is about 48259.8499790457. The cubic root of 2329013120 is about 1325.5333075668.

The spelling of 2329013120 in words is "two billion, three hundred twenty-nine million, thirteen thousand, one hundred twenty".