Search a number
-
+
22637609764 = 22721129772
BaseRepresentation
bin10101000101010011…
…101000001100100100
32011102122122201122021
4111011103220030210
5332330212003024
614222150312524
71430660336200
oct250523501444
964378581567
1022637609764
119667382300
124479358744
132199c88483
14114a717b00
158c75c9de4
hex5454e8324

22637609764 has 81 divisors (see below), whose sum is σ = 50705889969. Its totient is φ = 8810820480.

The previous prime is 22637609749. The next prime is 22637609773. The reversal of 22637609764 is 46790673622.

It is a happy number.

The square root of 22637609764 is 150458.

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., 21178980900 + 1458628864 = 145530^2 + 38192^2 .

It is a super-2 number, since 2×226376097642 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23170044 + ... + 23171020.

Almost surely, 222637609764 is an apocalyptic number.

22637609764 is the 150458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22637609764

22637609764 is an abundant number, since it is smaller than the sum of its proper divisors (28068280205).

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

22637609764 is an equidigital number, since it uses as much as digits as its factorization.

22637609764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 52.

The spelling of 22637609764 in words is "twenty-two billion, six hundred thirty-seven million, six hundred nine thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 977 1078 1694 1954 2156 3388 3908 5929 6839 10747 11858 13678 21494 23716 27356 42988 47873 75229 95746 118217 150458 191492 236434 300916 472868 526603 827519 954529 1053206 1655038 1909058 2106412 3310076 3818116 5792633 6681703 10499819 11585266 13363406 20999638 23170532 26726812 41999276 46771921 73498733 93543842 115498009 146997466 187087684 230996018 293994932 461992036 514491131 808486063 1028982262 1616972126 2057964524 3233944252 5659402441 11318804882 22637609764