Search a number
-
+
22392769984 = 2613106125367
BaseRepresentation
bin10100110110101101…
…101000110111000000
32010210120221120121021
4110312231220313000
5331330022114414
614142002435224
71421625255454
oct246655506700
963716846537
1022392769984
119551153582
12440b362b14
13215b331770
141125dc2664
158b0d64c24
hex536b68dc0

22392769984 has 56 divisors (see below), whose sum is σ = 47900770848. Its totient is φ = 10324976640.

The previous prime is 22392769969. The next prime is 22392770069. The reversal of 22392769984 is 48996729322.

It is a super-2 number, since 2×223927699842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870069 + ... + 895435.

It is an arithmetic number, because the mean of its divisors is an integer number (855370908).

Almost surely, 222392769984 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 22392769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950385424).

22392769984 is an abundant number, since it is smaller than the sum of its proper divisors (25508000864).

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

22392769984 is a wasteful number, since it uses less digits than its factorization.

22392769984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26453 (or 26443 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 61.

The spelling of 22392769984 in words is "twenty-two billion, three hundred ninety-two million, seven hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1061 2122 4244 8488 13793 16976 25367 27586 33952 50734 55172 67904 101468 110344 202936 220688 329771 405872 441376 659542 811744 882752 1319084 1623488 2638168 5276336 10552672 21105344 26914387 53828774 107657548 215315096 349887031 430630192 699774062 861260384 1399548124 1722520768 2799096248 5598192496 11196384992 22392769984