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22706440164 = 22323743616797
BaseRepresentation
bin10101001001011010…
…001100011111100100
32011121110011200012100
4111021122030133210
5333000322041124
614233045452100
71432454362002
oct251132143744
964543150170
1022706440164
1196a2214631
124498411030
1321ab307815
141155913a72
158cd6741c9
hex54968c7e4

22706440164 has 288 divisors, whose sum is σ = 62864337536. Its totient is φ = 6897623040.

The previous prime is 22706440093. The next prime is 22706440177. The reversal of 22706440164 is 46104460722.

22706440164 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 644 + 0 + 1 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234086964 + ... + 234087060.

Almost surely, 222706440164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22706440164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31432168768).

22706440164 is an abundant number, since it is smaller than the sum of its proper divisors (40157897372).

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

22706440164 is a wasteful number, since it uses less digits than its factorization.

22706440164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 22706440164 in words is "twenty-two billion, seven hundred six million, four hundred forty thousand, one hundred sixty-four".