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22885438464 = 210337118249
BaseRepresentation
bin10101010100000101…
…000001010000000000
32012001220222201201000
4111110011001100000
5333332133012324
614302522212000
71440060005640
oct252405012000
965056881630
1022885438464
119784262709
124528354000
13220941a785
1411715ca520
158de2309c9
hex554141400

22885438464 has 176 divisors, whose sum is σ = 77458480000. Its totient is φ = 6538641408.

The previous prime is 22885438453. The next prime is 22885438483. The reversal of 22885438464 is 46483458822.

22885438464 is a `hidden beast` number, since 22 + 88 + 54 + 38 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 22885438464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134412 + ... + 252660.

It is an arithmetic number, because the mean of its divisors is an integer number (440105000).

Almost surely, 222885438464 is an apocalyptic number.

22885438464 is a gapful number since it is divisible by the number (24) 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 22885438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38729240000).

22885438464 is an abundant number, since it is smaller than the sum of its proper divisors (54573041536).

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

22885438464 is a wasteful number, since it uses less digits than its factorization.

22885438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118285 (or 118261 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 22885438464 in words is "twenty-two billion, eight hundred eighty-five million, four hundred thirty-eight thousand, four hundred sixty-four".