Search a number
-
+
22281330960 = 243757223113
BaseRepresentation
bin10100110000000100…
…100010000100010000
32010111211020220000000
4110300010202010100
5331113010042320
614122542130000
71416103121400
oct246004420420
963454226000
1022281330960
1194a4259809
124399b80900
132141214405
141115294800
158a61a0c90
hex530122110

22281330960 has 960 divisors, whose sum is σ = 95143196160. Its totient is φ = 4828336128.

The previous prime is 22281330947. The next prime is 22281330979. The reversal of 22281330960 is 6903318222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 197179864 + ... + 197179976.

It is an arithmetic number, because the mean of its divisors is an integer number (99107496).

Almost surely, 222281330960 is an apocalyptic number.

22281330960 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 22281330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47571598080).

22281330960 is an abundant number, since it is smaller than the sum of its proper divisors (72861865200).

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

22281330960 is a wasteful number, since it uses less digits than its factorization.

22281330960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 22281330960 in words is "twenty-two billion, two hundred eighty-one million, three hundred thirty thousand, nine hundred sixty".