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2326993920 = 21034531181
BaseRepresentation
bin1000101010110011…
…0001110000000000
320000011122112120000
42022230301300000
514231202301140
61022523320000
7111444056556
oct21254616000
96004575500
102326993920
11a94588a79
1254b380000
132b1136aa4
14181097bd6
15d9454a30
hex8ab31c00

2326993920 has 440 divisors, whose sum is σ = 8655174528. Its totient is φ = 597196800.

The previous prime is 2326993919. The next prime is 2326993937. The reversal of 2326993920 is 293996232.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12856230 + ... + 12856410.

Almost surely, 22326993920 is an apocalyptic number.

2326993920 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 2326993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327587264).

2326993920 is an abundant number, since it is smaller than the sum of its proper divisors (6328180608).

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

2326993920 is a wasteful number, since it uses less digits than its factorization.

2326993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 2326993920 is about 48238.9253611645. The cubic root of 2326993920 is about 1325.1501279993.

The spelling of 2326993920 in words is "two billion, three hundred twenty-six million, nine hundred ninety-three thousand, nine hundred twenty".