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2331268992 = 273313192731
BaseRepresentation
bin1000101011110100…
…0101011110000000
320000110200201212000
42022331011132000
514233301101432
61023155104000
7111525313413
oct21275053600
96013621760
102331268992
11a96a38998
125508a2000
132b1ca2910
1418188bb7a
15d99eb57c
hex8af45780

2331268992 has 256 divisors, whose sum is σ = 7802592000. Its totient is φ = 679311360.

The previous prime is 2331268991. The next prime is 2331268993. The reversal of 2331268992 is 2998621332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2331268991) and next prime (2331268993).

It is a super-2 number, since 2×23312689922 = 10869630226121392128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331268991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852267 + ... + 854997.

It is an arithmetic number, because the mean of its divisors is an integer number (30478875).

Almost surely, 22331268992 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 2331268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901296000).

2331268992 is an abundant number, since it is smaller than the sum of its proper divisors (5471323008).

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

2331268992 is a wasteful number, since it uses less digits than its factorization.

2331268992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2768 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2331268992 is about 48283.2164628663. The cubic root of 2331268992 is about 1325.9611380679.

The spelling of 2331268992 in words is "two billion, three hundred thirty-one million, two hundred sixty-eight thousand, nine hundred ninety-two".