Search a number
-
+
22244260164 = 22371769122543
BaseRepresentation
bin10100101101110111…
…000111100101000100
32010102020111111102120
4110231313013211010
5331024012311124
614115135405540
71415143043310
oct245567074504
963366444376
1022244260164
119485339995
1243896838b0
132136634c29
1411103a4b40
158a2ccbd79
hex52ddc7944

22244260164 has 96 divisors (see below), whose sum is σ = 62901006336. Its totient is φ = 5972728320.

The previous prime is 22244260153. The next prime is 22244260307. The reversal of 22244260164 is 46106244222.

It is a super-2 number, since 2×222442601642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975477 + ... + 998019.

It is an arithmetic number, because the mean of its divisors is an integer number (655218816).

Almost surely, 222244260164 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 22244260164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31450503168).

22244260164 is an abundant number, since it is smaller than the sum of its proper divisors (40656746172).

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

22244260164 is a wasteful number, since it uses less digits than its factorization.

22244260164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23265 (or 23263 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 22244260164 in words is "twenty-two billion, two hundred forty-four million, two hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 691 714 1382 1428 2073 2764 4146 4837 8292 9674 11747 14511 19348 22543 23494 29022 35241 45086 46988 58044 67629 70482 82229 90172 135258 140964 157801 164458 246687 270516 315602 328916 383231 473403 493374 631204 766462 946806 986748 1149693 1532924 1893612 2299386 2682617 4598772 5365234 8047851 10730468 15577213 16095702 31154426 32191404 46731639 62308852 93463278 109040491 186926556 218080982 264812621 327121473 436161964 529625242 654242946 794437863 1059250484 1308485892 1588875726 1853688347 3177751452 3707376694 5561065041 7414753388 11122130082 22244260164