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22948699840 = 26511173189139
BaseRepresentation
bin10101010111110110…
…010101111011000000
32012020100000201222221
4111113312111323000
5333444331343330
614313102140424
71441455505303
oct252766257300
965210021887
1022948699840
119806a40940
124545581714
13221956a041
141179b76b3a
158e4a79b7a
hex557d95ec0

22948699840 has 448 divisors, whose sum is σ = 66363494400. Its totient is φ = 7461273600.

The previous prime is 22948699817. The next prime is 22948699849. The reversal of 22948699840 is 4899684922.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22948699849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165098491 + ... + 165098629.

It is an arithmetic number, because the mean of its divisors is an integer number (148132800).

Almost surely, 222948699840 is an apocalyptic number.

22948699840 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 22948699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33181747200).

22948699840 is an abundant number, since it is smaller than the sum of its proper divisors (43414794560).

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

22948699840 is a wasteful number, since it uses less digits than its factorization.

22948699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 22948699840 in words is "twenty-two billion, nine hundred forty-eight million, six hundred ninety-nine thousand, eight hundred forty".