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3222054126 = 235411011601
BaseRepresentation
bin1100000000001100…
…1010010011101110
322022112212022100000
43000003022103232
523044321213001
61251415445130
7142563002544
oct30003122356
98275768300
103222054126
111403846a55
1275b0867a6
133c46c0c05
14227cc9d94
1513cd07a86
hexc00ca4ee

3222054126 has 96 divisors (see below), whose sum is σ = 7494361056. Its totient is φ = 1036800000.

The previous prime is 3222054103. The next prime is 3222054131. The reversal of 3222054126 is 6214502223.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3222054126.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2011726 + ... + 2013326.

It is an arithmetic number, because the mean of its divisors is an integer number (78066261).

Almost surely, 23222054126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222054126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747180528).

3222054126 is an abundant number, since it is smaller than the sum of its proper divisors (4272306930).

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

3222054126 is a wasteful number, since it uses less digits than its factorization.

3222054126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3222054126 is about 56763.1405579360. The cubic root of 3222054126 is about 1476.9901892317.

Adding to 3222054126 its reverse (6214502223), we get a palindrome (9436556349).

The spelling of 3222054126 in words is "three billion, two hundred twenty-two million, fifty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 101 123 162 202 243 246 303 369 486 606 738 909 1107 1601 1818 2214 2727 3202 3321 4141 4803 5454 6642 8181 8282 9606 9963 12423 14409 16362 19926 24543 24846 28818 37269 43227 49086 65641 74538 86454 111807 129681 131282 161701 196923 223614 259362 323402 335421 389043 393846 485103 590769 670842 778086 970206 1006263 1181538 1455309 1772307 2012526 2910618 3544614 4365927 5316921 6629741 8731854 10633842 13097781 13259482 15950763 19889223 26195562 31901526 39293343 39778446 59667669 78586686 119335338 179003007 358006014 537009021 1074018042 1611027063 3222054126