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22714408369 = 29251972
BaseRepresentation
bin10101001001111000…
…100101110110110001
32011122000011111112001
4111021320211312301
5333004342031434
614233532334001
71432612166632
oct251170456661
964560144461
1022714408369
1196a6767224
12449b014301
1321acb67633
1411569c9889
158ce1ea114
hex549e25db1

22714408369 has 9 divisors (see below), whose sum is σ = 23529200097. Its totient is φ = 21926932944.

The previous prime is 22714408357. The next prime is 22714408391. The reversal of 22714408369 is 96380441722.

It is a happy number.

The square root of 22714408369 is 150713.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7535025 + 22706873344 = 2745^2 + 150688^2 .

It is not a de Polignac number, because 22714408369 - 217 = 22714277297 is a prime.

It is a super-2 number, since 2×227144083692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22714408399) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4368079 + ... + 4373275.

Almost surely, 222714408369 is an apocalyptic number.

22714408369 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

22714408369 is the 150713-rd square number.

22714408369 is the 75357-th centered octagonal number.

It is an amenable number.

22714408369 is a deficient number, since it is larger than the sum of its proper divisors (814791728).

22714408369 is an frugal number, since it uses more digits than its factorization.

22714408369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10452 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 22714408369 in words is "twenty-two billion, seven hundred fourteen million, four hundred eight thousand, three hundred sixty-nine".

Divisors: 1 29 841 5197 150713 4370677 27008809 783255461 22714408369