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2122640325 = 3252131375297
BaseRepresentation
bin111111010000100…
…1110101111000101
312110221010022010100
41332201032233011
513321343442300
6550343314313
7103413100521
oct17641165705
95427108110
102122640325
1199a1a2103
124b2a4b999
1327a9b6cc0
14161ca0d81
15c653a700
hex7e84ebc5

2122640325 has 72 divisors (see below), whose sum is σ = 4125001608. Its totient is φ = 1037168640.

The previous prime is 2122640269. The next prime is 2122640393. The reversal of 2122640325 is 5230462212.

It is a happy number.

2122640325 is a `hidden beast` number, since 2 + 12 + 2 + 640 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 514790721 + 1607849604 = 22689^2 + 40098^2 .

It is not a de Polignac number, because 2122640325 - 211 = 2122638277 is a prime.

It is a super-2 number, since 2×21226403252 = 9011203898632211250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 398077 + ... + 403373.

It is an arithmetic number, because the mean of its divisors is an integer number (57291689).

Almost surely, 22122640325 is an apocalyptic number.

2122640325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2122640325 is a deficient number, since it is larger than the sum of its proper divisors (2002361283).

2122640325 is a wasteful number, since it uses less digits than its factorization.

2122640325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2122640325 is about 46072.1209084192. The cubic root of 2122640325 is about 1285.1647454398.

The spelling of 2122640325 in words is "two billion, one hundred twenty-two million, six hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 137 195 225 325 411 585 685 975 1233 1781 2055 2925 3425 5297 5343 6165 8905 10275 15891 16029 26485 26715 30825 44525 47673 68861 79455 80145 132425 133575 206583 238365 344305 397275 400725 619749 725689 1032915 1191825 1721525 2177067 3098745 3628445 5164575 6531201 9433957 10885335 15493725 18142225 28301871 32656005 47169785 54426675 84905613 141509355 163280025 235848925 424528065 707546775 2122640325