Search a number
-
+
22922646120 = 233251123892423
BaseRepresentation
bin10101010110010010…
…111101001001101000
32012011112000002000100
4111112102331021220
5333421144133440
614310331505400
71441021164033
oct252622751150
965145002010
1022922646120
1197a3266340
1245388b8260
13221404733a
14117651401a
158e2630230
hex5564bd268

22922646120 has 192 divisors, whose sum is σ = 81338774400. Its totient is φ = 5552386560.

The previous prime is 22922646119. The next prime is 22922646127. The reversal of 22922646120 is 2164622922.

It is a happy number.

22922646120 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 2 + 646 + 1 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22922646127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9459229 + ... + 9461651.

It is an arithmetic number, because the mean of its divisors is an integer number (423639450).

Almost surely, 222922646120 is an apocalyptic number.

22922646120 is a gapful number since it is divisible by the number (20) 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 22922646120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40669387200).

22922646120 is an abundant number, since it is smaller than the sum of its proper divisors (58416128280).

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

22922646120 is a wasteful number, since it uses less digits than its factorization.

22922646120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22922646120 in words is "twenty-two billion, nine hundred twenty-two million, six hundred forty-six thousand, one hundred twenty".