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22946029920 = 2534511712267
BaseRepresentation
bin10101010111101100…
…001010000101100000
32012020011000002120000
4111113230022011200
5333443140424140
614312525020000
71441424015262
oct252754120540
965204002500
1022946029920
1198054879a0
1245446b4600
132218b439c8
14117967db32
158e46eda30
hex557b0a160

22946029920 has 480 divisors, whose sum is σ = 89625989376. Its totient is φ = 5481907200.

The previous prime is 22946029907. The next prime is 22946029963. The reversal of 22946029920 is 2992064922.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10120627 + ... + 10122893.

Almost surely, 222946029920 is an apocalyptic number.

22946029920 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 22946029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44812994688).

22946029920 is an abundant number, since it is smaller than the sum of its proper divisors (66679959456).

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

22946029920 is a wasteful number, since it uses less digits than its factorization.

22946029920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2359 counting only the distinct ones).

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

The spelling of 22946029920 in words is "twenty-two billion, nine hundred forty-six million, twenty-nine thousand, nine hundred twenty".