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22949826064 = 241143132
BaseRepresentation
bin10101010111111010…
…101000111000010000
32012020102010221212221
4111113322220320100
5334000123413224
614313142230424
71441501205614
oct252772507020
965212127787
1022949826064
119807640000
124545a25414
132219872849
141179d8b344
158e4bed6e4
hex557ea8e10

22949826064 has 75 divisors (see below), whose sum is σ = 49068279165. Its totient is φ = 10398410880.

The previous prime is 22949826061. The next prime is 22949826079. The reversal of 22949826064 is 46062894922.

The square root of 22949826064 is 151492.

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., 146410000 + 22803416064 = 12100^2 + 151008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22949826061) 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 14 ways as a sum of consecutive naturals, for example, 73321972 + ... + 73322284.

Almost surely, 222949826064 is an apocalyptic number.

22949826064 is the 151492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22949826064

22949826064 is an abundant number, since it is smaller than the sum of its proper divisors (26118453101).

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

22949826064 is an frugal number, since it uses more digits than its factorization.

22949826064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 22949826064 in words is "twenty-two billion, nine hundred forty-nine million, eight hundred twenty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 313 484 626 968 1252 1331 1936 2504 2662 3443 5008 5324 6886 10648 13772 14641 21296 27544 29282 37873 55088 58564 75746 97969 117128 151492 195938 234256 302984 391876 416603 605968 783752 833206 1077659 1567504 1666412 2155318 3332824 4310636 4582633 6665648 8621272 9165266 11854249 17242544 18330532 23708498 36661064 47416996 73322128 94833992 130396739 189667984 260793478 521586956 1043173912 1434364129 2086347824 2868728258 5737456516 11474913032 22949826064