Search a number
-
+
22136578464 = 253711132231033
BaseRepresentation
bin10100100111011100…
…010110000110100000
32010010201212200220110
4110213130112012200
5330313431002324
614100331411320
71412364545430
oct244734260640
963121780813
1022136578464
11942a581050
1243595b3b40
13211a231b50
1410ddd742c0
1589860b329
hex5277161a0

22136578464 has 384 divisors, whose sum is σ = 78445559808. Its totient is φ = 5278556160.

The previous prime is 22136578403. The next prime is 22136578481. The reversal of 22136578464 is 46487563122.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21428892 + ... + 21429924.

It is an arithmetic number, because the mean of its divisors is an integer number (204285312).

Almost surely, 222136578464 is an apocalyptic number.

22136578464 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 22136578464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39222779904).

22136578464 is an abundant number, since it is smaller than the sum of its proper divisors (56308981344).

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

22136578464 is a wasteful number, since it uses less digits than its factorization.

22136578464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1292 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 22136578464 in words is "twenty-two billion, one hundred thirty-six million, five hundred seventy-eight thousand, four hundred sixty-four".