Search a number
-
+
22031493120 = 2113257133771
BaseRepresentation
bin10100100001001011…
…011110100000000000
32002212102010210220200
4110201023132200000
5330110030234440
614042055205200
71406650413240
oct244113364000
962772123820
1022031493120
11938622695a
12432a376800
13210152a780
1410d001bb20
1588e29ec30
hex5212de800

22031493120 has 1152 divisors, whose sum is σ = 97877445120. Its totient is φ = 4459069440.

The previous prime is 22031493119. The next prime is 22031493151. The reversal of 22031493120 is 2139413022.

It is a happy number.

22031493120 is a `hidden beast` number, since 2 + 20 + 31 + 493 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310302685 + ... + 310302755.

It is an arithmetic number, because the mean of its divisors is an integer number (84963060).

Almost surely, 222031493120 is an apocalyptic number.

22031493120 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 22031493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48938722560).

22031493120 is an abundant number, since it is smaller than the sum of its proper divisors (75845952000).

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

22031493120 is a wasteful number, since it uses less digits than its factorization.

22031493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 22031493120 in words is "twenty-two billion, thirty-one million, four hundred ninety-three thousand, one hundred twenty".