Search a number
-
+
22254560496 = 2432723785243
BaseRepresentation
bin10100101110011110…
…011010010011110000
32010102221212210211100
4110232132122103300
5331034131413441
614120144244400
71415326433400
oct245636322360
963387783740
1022254560496
119490134763
124391010700
1321388003bc
1411118c6800
158a3b63cb6
hex52e79a4f0

22254560496 has 180 divisors, whose sum is σ = 74409317112. Its totient is φ = 6186523392.

The previous prime is 22254560491. The next prime is 22254560507. The reversal of 22254560496 is 69406545222.

22254560496 is a `hidden beast` number, since 2 + 2 + 2 + 545 + 60 + 49 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22254560491) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218451 + ... + 303693.

Almost surely, 222254560496 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 22254560496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37204658556).

22254560496 is an abundant number, since it is smaller than the sum of its proper divisors (52154756616).

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

22254560496 is a wasteful number, since it uses less digits than its factorization.

22254560496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85308 (or 85292 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 22254560496 in words is "twenty-two billion, two hundred fifty-four million, five hundred sixty thousand, four hundred ninety-six".