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22943293440 = 213351931317
BaseRepresentation
bin10101010111100001…
…101110000000000000
32012012221212001210220
4111113201232000000
5333441440342230
614312350223040
71441361530224
oct252741560000
965187761726
1022943293440
119803988a41
1245437b4a80
1322183c62a2
14117916a784
158e435cd10
hex55786e000

22943293440 has 448 divisors, whose sum is σ = 80022435840. Its totient is φ = 5591531520.

The previous prime is 22943293403. The next prime is 22943293463. The reversal of 22943293440 is 4439234922.

It is a junction number, because it is equal to n+sod(n) for n = 22943293392 and 22943293401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72376162 + ... + 72376478.

Almost surely, 222943293440 is an apocalyptic number.

22943293440 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 22943293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40011217920).

22943293440 is an abundant number, since it is smaller than the sum of its proper divisors (57079142400).

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

22943293440 is a wasteful number, since it uses less digits than its factorization.

22943293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 22943293440 in words is "twenty-two billion, nine hundred forty-three million, two hundred ninety-three thousand, four hundred forty".