Search a number
-
+
22707836928 = 2113271959157
BaseRepresentation
bin10101001001011111…
…100001100000000000
32011121112210122012100
4111021133201200000
5333001201240203
614233135430400
71432502300130
oct251137414000
964545718170
1022707836928
1196a2a88a87
124498985400
1321ab6a64ca
141155b98ac0
158cd84cea3
hex5497e1800

22707836928 has 576 divisors, whose sum is σ = 80746848000. Its totient is φ = 6003818496.

The previous prime is 22707836927. The next prime is 22707836959. The reversal of 22707836928 is 82963870722.

22707836928 is a `hidden beast` number, since 2 + 270 + 7 + 8 + 369 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22707836927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 144635826 + ... + 144635982.

It is an arithmetic number, because the mean of its divisors is an integer number (140185500).

Almost surely, 222707836928 is an apocalyptic number.

22707836928 is a gapful number since it is divisible by the number (28) 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 22707836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40373424000).

22707836928 is an abundant number, since it is smaller than the sum of its proper divisors (58039011072).

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

22707836928 is a wasteful number, since it uses less digits than its factorization.

22707836928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 22707836928 in words is "twenty-two billion, seven hundred seven million, eight hundred thirty-six thousand, nine hundred twenty-eight".