Search a number
-
+
22975890084 = 2236724012
BaseRepresentation
bin10101011001011110…
…000100001010100100
32012022020012011000000
4111121132010022210
5334023311440314
614315513021300
71442235562200
oct253136041244
965266164000
1022975890084
119820322314
1245526b4830
13222209a144
14117d613b00
158e714b209
hex5597842a4

22975890084 has 189 divisors, whose sum is σ = 70301756721. Its totient is φ = 6548169600.

The previous prime is 22975890079. The next prime is 22975890107. The reversal of 22975890084 is 48009857922.

The square root of 22975890084 is 151578.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22747275684 + 228614400 = 150822^2 + 15120^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 22975890084.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 57296284 + ... + 57296684.

Almost surely, 222975890084 is an apocalyptic number.

22975890084 is the 151578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22975890084

22975890084 is an abundant number, since it is smaller than the sum of its proper divisors (47325866637).

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

22975890084 is an frugal number, since it uses more digits than its factorization.

22975890084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 22975890084 in words is "twenty-two billion, nine hundred seventy-five million, eight hundred ninety thousand, eighty-four".