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22968328464 = 243353712199
BaseRepresentation
bin10101011001000001…
…001110000100010000
32012021200221222102000
4111121001032010100
5334014343002324
614315042554000
71442114366514
oct253101160420
965250858360
1022968328464
119817028144
124550068900
132220650403
14117c606144
158e66559c9
hex55904e110

22968328464 has 240 divisors, whose sum is σ = 68473296000. Its totient is φ = 7368641280.

The previous prime is 22968328463. The next prime is 22968328469. The reversal of 22968328464 is 46482386922.

22968328464 is a `hidden beast` number, since 229 + 6 + 83 + 284 + 64 = 666.

It is a super-2 number, since 2×229683284642 (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22968328464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22968328463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115418637 + ... + 115418835.

It is an arithmetic number, because the mean of its divisors is an integer number (285305400).

Almost surely, 222968328464 is an apocalyptic number.

22968328464 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 22968328464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34236648000).

22968328464 is an abundant number, since it is smaller than the sum of its proper divisors (45504967536).

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

22968328464 is a wasteful number, since it uses less digits than its factorization.

22968328464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 328 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 22968328464 in words is "twenty-two billion, nine hundred sixty-eight million, three hundred twenty-eight thousand, four hundred sixty-four".