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22135536324 = 2232111729113383
BaseRepresentation
bin10100100111011000…
…010111101011000100
32010010122220202100200
4110213120113223010
5330313144130244
614100253210500
71412352645216
oct244730275304
963118822320
1022135536324
119429a2a080
124359190a30
132119c586b5
1410ddb825b6
158984a2669
hex527617ac4

22135536324 has 144 divisors (see below), whose sum is σ = 66860277120. Its totient is φ = 6095416320.

The previous prime is 22135536281. The next prime is 22135536331. The reversal of 22135536324 is 42363553122.

22135536324 is a `hidden beast` number, since 2 + 2 + 13 + 5 + 5 + 3 + 632 + 4 = 666.

It is a super-2 number, since 2×221355363242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 138537 + ... + 251919.

It is an arithmetic number, because the mean of its divisors is an integer number (464307480).

Almost surely, 222135536324 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 22135536324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33430138560).

22135536324 is an abundant number, since it is smaller than the sum of its proper divisors (44724740796).

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

22135536324 is a wasteful number, since it uses less digits than its factorization.

22135536324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113450 (or 113445 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The spelling of 22135536324 in words is "twenty-two billion, one hundred thirty-five million, five hundred thirty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 29 33 34 36 44 51 58 66 68 87 99 102 116 132 153 174 187 198 204 261 306 319 348 374 396 493 522 561 612 638 748 957 986 1044 1122 1276 1479 1683 1914 1972 2244 2871 2958 3366 3828 4437 5423 5742 5916 6732 8874 10846 11484 16269 17748 21692 32538 48807 65076 97614 113383 195228 226766 340149 453532 680298 1020447 1247213 1360596 1927511 2040894 2494426 3288107 3741639 3855022 4081788 4988852 5782533 6576214 7483278 7710044 9864321 11224917 11565066 13152428 14966556 17347599 19728642 21202621 22449834 23130132 29592963 34695198 36169177 39457284 42405242 44899668 55897819 59185926 63607863 69390396 72338354 84810484 108507531 111795638 118371852 127215726 144676708 167693457 190823589 217015062 223591276 254431452 325522593 335386914 381647178 434030124 503080371 614876009 651045186 670773828 763294356 1006160742 1229752018 1302090372 1844628027 2012321484 2459504036 3689256054 5533884081 7378512108 11067768162 22135536324