Search a number
-
+
22569425424 = 24327132192367
BaseRepresentation
bin10101000001001111…
…100001101000010000
32011020220100121022100
4111001033201220100
5332210233103144
614211313040400
71426201644060
oct250117415020
964226317270
1022569425424
119631941407
12445a556100
132188b04200
1411416493a0
158c160c269
hex5413e1a10

22569425424 has 540 divisors, whose sum is σ = 82721598336. Its totient is φ = 5623727616.

The previous prime is 22569425419. The next prime is 22569425429. The reversal of 22569425424 is 42452496522.

22569425424 is a `hidden beast` number, since 2 + 2 + 5 + 69 + 42 + 542 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22569425419) and next prime (22569425429).

It is a self number, because there is not a number n which added to its sum of digits gives 22569425424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22569425429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 61496889 + ... + 61497255.

Almost surely, 222569425424 is an apocalyptic number.

22569425424 is a gapful number since it is divisible by the number (24) 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 22569425424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41360799168).

22569425424 is an abundant number, since it is smaller than the sum of its proper divisors (60152172912).

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

22569425424 is a wasteful number, since it uses less digits than its factorization.

22569425424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 411 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 22569425424 in words is "twenty-two billion, five hundred sixty-nine million, four hundred twenty-five thousand, four hundred twenty-four".