Search a number
-
+
22107823969 = 7211219312
BaseRepresentation
bin10100100101101110…
…101001111101100001
32010001201202211011011
4110211232221331201
5330234100331334
614053423220521
71411565255200
oct244556517541
963051684134
1022107823969
119415321400
12434ba47741
1321142a4a5a
1410da20b237
15895d2b564
hex525ba9f61

22107823969 has 27 divisors (see below), whose sum is σ = 28282383633. Its totient is φ = 17217954600.

The previous prime is 22107823931. The next prime is 22107823973. The reversal of 22107823969 is 96932870122.

The square root of 22107823969 is 148687.

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

It is not a de Polignac number, because 22107823969 - 231 = 19960340321 is a prime.

It is a super-2 number, since 2×221078239692 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (22107823999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11447934 + ... + 11449864.

Almost surely, 222107823969 is an apocalyptic number.

22107823969 is the 148687-th square number.

22107823969 is the 74344-th centered octagonal number.

It is an amenable number.

22107823969 is a deficient number, since it is larger than the sum of its proper divisors (6174559664).

22107823969 is an frugal number, since it uses more digits than its factorization.

22107823969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 22107823969 by its sum of digits (49), we get a square (1083283374481 = 10408092).

22107823969 divided by its sum of digits (49) gives a square (451180081 = 212412).

The spelling of 22107823969 in words is "twenty-two billion, one hundred seven million, eight hundred twenty-three thousand, nine hundred sixty-nine".

Divisors: 1 7 11 49 77 121 539 847 1931 5929 13517 21241 94619 148687 233651 1040809 1635557 3728761 11448899 26101327 41016371 182709289 287114597 451180081 2009802179 3158260567 22107823969