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22314981924 = 22344321932
BaseRepresentation
bin10100110010000100…
…111001101000100100
32010121011120112110000
4110302010321220210
5331200113410144
614130143301300
71416662134224
oct246204715044
963534515400
1022314981924
119511253224
1243a92aa830
132148197121
141119934084
158a90eb769
hex532139a24

22314981924 has 135 divisors (see below), whose sum is σ = 60035020353. Its totient is φ = 7227698688.

The previous prime is 22314981917. The next prime is 22314981929. The reversal of 22314981924 is 42918941322.

The square root of 22314981924 is 149382.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5406660900 + 16908321024 = 73530^2 + 130032^2 .

It is a super-3 number, since 3×223149819243 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22314981924.

It is not an unprimeable number, because it can be changed into a prime (22314981929) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 115621572 + ... + 115621764.

Almost surely, 222314981924 is an apocalyptic number.

22314981924 is the 149382-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22314981924

22314981924 is an abundant number, since it is smaller than the sum of its proper divisors (37720038429).

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

22314981924 is an equidigital number, since it uses as much as digits as its factorization.

22314981924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 241 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 22314981924 in words is "twenty-two billion, three hundred fourteen million, nine hundred eighty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 193 258 324 386 387 516 579 772 774 1158 1161 1548 1737 1849 2316 2322 3474 3483 3698 4644 5211 5547 6948 6966 7396 8299 10422 11094 13932 15633 16598 16641 20844 22188 24897 31266 33196 33282 37249 49794 49923 62532 66564 74498 74691 99588 99846 111747 148996 149382 149769 199692 223494 224073 298764 299538 335241 356857 446988 448146 599076 670482 672219 713714 896292 1005723 1070571 1340964 1344438 1427428 1601707 2011446 2141142 2688876 3017169 3203414 3211713 4022892 4282284 4805121 6034338 6406828 6423426 9610242 9635139 12068676 12846852 14415363 19220484 19270278 28830726 28905417 38540556 43246089 57661452 57810834 68873401 86492178 115621668 129738267 137746802 172984356 206620203 259476534 275493604 413240406 518953068 619860609 826480812 1239721218 1859581827 2479442436 3719163654 5578745481 7438327308 11157490962 22314981924