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2250268969 = 132412892
BaseRepresentation
bin1000011000100000…
…0110000100101001
312210211021111201011
42012020012010221
514102032101334
61011143023521
7106522653634
oct20610060451
95724244634
102250268969
11a55244423
1252973aba1
1329b282300
14174c04c1b
15d284b564
hex86206129

2250268969 has 27 divisors (see below), whose sum is σ = 2525940399. Its totient is φ = 2003738880.

The previous prime is 2250268967. The next prime is 2250268973. The reversal of 2250268969 is 9698620522.

The square root of 2250268969 is 47437.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1730976025 + 519292944 = 41605^2 + 22788^2 .

It is not a de Polignac number, because 2250268969 - 21 = 2250268967 is a prime.

It is a super-2 number, since 2×22502689692 = 10127420865688645922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2250268967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25283877 + ... + 25283965.

Almost surely, 22250268969 is an apocalyptic number.

2250268969 is the 47437-th square number.

2250268969 is the 23719-th centered octagonal number.

It is an amenable number.

2250268969 is a deficient number, since it is larger than the sum of its proper divisors (275671430).

2250268969 is an frugal number, since it uses more digits than its factorization.

2250268969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The cubic root of 2250268969 is about 1310.4229097049.

Multiplying 2250268969 by its sum of digits (49), we get a square (110263179481 = 3320592).

The spelling of 2250268969 in words is "two billion, two hundred fifty million, two hundred sixty-eight thousand, nine hundred sixty-nine".

Divisors: 1 13 41 89 169 533 1157 1681 3649 6929 7921 15041 21853 47437 102973 149609 284089 324761 616681 1338649 1944917 4221893 13315201 25283921 54884609 173097613 2250268969