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22152625122 = 23192321013637
BaseRepresentation
bin10100101000011001…
…100011101111100010
32010011212001221210010
4110220121203233202
5330332033000442
614102103345350
71412651130615
oct245031435742
963155057703
1022152625122
119438641151
124362a52256
13212065ca04
14110215017c
15899c2ab9c
hex528663be2

22152625122 has 96 divisors (see below), whose sum is σ = 49249206720. Its totient is φ = 6623337600.

The previous prime is 22152625093. The next prime is 22152625123.

22152625122 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22152625122.

It is not an unprimeable number, because it can be changed into a prime (22152625123) 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 47 ways as a sum of consecutive naturals, for example, 6089088 + ... + 6092724.

It is an arithmetic number, because the mean of its divisors is an integer number (513012570).

Almost surely, 222152625122 is an apocalyptic number.

22152625122 is an abundant number, since it is smaller than the sum of its proper divisors (27096581598).

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

22152625122 is a wasteful number, since it uses less digits than its factorization.

22152625122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3785 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The spelling of 22152625122 in words is "twenty-two billion, one hundred fifty-two million, six hundred twenty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 23 38 46 57 69 101 114 138 202 303 437 529 606 874 1058 1311 1587 1919 2323 2622 3174 3637 3838 4646 5757 6969 7274 10051 10911 11514 13938 20102 21822 30153 44137 53429 60306 69103 83651 88274 106858 132411 138206 160287 167302 207309 250953 264822 320574 367337 414618 501906 734674 1015151 1102011 1589369 1923973 2030302 2204022 3045453 3178738 3847946 4768107 5771919 6090906 6979403 8448751 9536214 11543838 13958806 16897502 20938209 25346253 36555487 41876418 50692506 73110974 109666461 160526269 194321273 219332922 321052538 388642546 481578807 582963819 963157614 1165927638 3692104187 7384208374 11076312561 22152625122