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22013533404 = 22332325734483
BaseRepresentation
bin10100100000000110…
…111101110011011100
32002211011100100211000
4110200012331303130
5330040431032104
614040214230300
71406341642452
oct244006756334
962734310730
1022013533404
11937707a515
124324355390
1320ca8acc15
1410cb8a49d2
1588c903639
hex5201bdcdc

22013533404 has 96 divisors (see below), whose sum is σ = 59786979840. Its totient is φ = 6991294464.

The previous prime is 22013533403. The next prime is 22013533441. The reversal of 22013533404 is 40433531022.

22013533404 is a `hidden beast` number, since 2 + 201 + 3 + 53 + 3 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013533403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 621147 + ... + 655629.

It is an arithmetic number, because the mean of its divisors is an integer number (622781040).

Almost surely, 222013533404 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 22013533404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29893489920).

22013533404 is an abundant number, since it is smaller than the sum of its proper divisors (37773446436).

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

22013533404 is a wasteful number, since it uses less digits than its factorization.

22013533404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34776 (or 34768 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 22013533404 in words is "twenty-two billion, thirteen million, five hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 257 276 414 514 621 771 828 1028 1242 1542 2313 2484 3084 4626 5911 6939 9252 11822 13878 17733 23644 27756 34483 35466 53199 68966 70932 103449 106398 137932 159597 206898 212796 310347 319194 413796 620694 638388 793109 931041 1241388 1586218 1862082 2379327 3172436 3724164 4758654 7137981 8862131 9517308 14275962 17724262 21413943 26586393 28551924 35448524 42827886 53172786 79759179 85655772 106345572 159518358 203829013 239277537 319036716 407658026 478555074 611487039 815316052 957110148 1222974078 1834461117 2445948156 3668922234 5503383351 7337844468 11006766702 22013533404