Search a number
-
+
225139288392 = 233219922812
BaseRepresentation
bin1101000110101101011…
…0001110100101001000
3210112010100021212001200
43101223112032211020
512142041124212032
6251232204144200
722160106242664
oct3215326164510
9715110255050
10225139288392
11875322936a7
1237772838060
13182cc673b55
14ac7ab658a4
155cca4ac47c
hex346b58e948

225139288392 has 108 divisors (see below), whose sum is σ = 615020375385. Its totient is φ = 74403584640.

The previous prime is 225139288391. The next prime is 225139288433. The reversal of 225139288392 is 293882931522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225139288392 is a `hidden beast` number, since 2 + 2 + 513 + 92 + 8 + 8 + 39 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217952657316 + 7186631076 = 466854^2 + 84774^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335514.

It is a super-2 number, since 2×2251392883922 (a number of 24 digits) contains 22 as substring.

Its product of digits (3732480) is a multiple of the sum of its prime factors (972).

It is not an unprimeable number, because it can be changed into a prime (225139288391) 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, 801207292 + ... + 801207572.

Almost surely, 2225139288392 is an apocalyptic number.

It is an amenable number.

225139288392 is an abundant number, since it is smaller than the sum of its proper divisors (389881086993).

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

225139288392 is an equidigital number, since it uses as much as digits as its factorization.

225139288392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 485 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 225139288392 in words is "two hundred twenty-five billion, one hundred thirty-nine million, two hundred eighty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 281 398 562 597 796 843 1124 1194 1592 1686 1791 2248 2388 2529 3372 3582 4776 5058 6744 7164 10116 14328 20232 39601 55919 78961 79202 111838 118803 157922 158404 167757 223676 236883 237606 315844 316808 335514 356409 447352 473766 475212 503271 631688 671028 710649 712818 947532 950424 1006542 1342056 1421298 1425636 1895064 2013084 2842596 2851272 4026168 5685192 11127881 15713239 22255762 31426478 33383643 44511524 47139717 62852956 66767286 89023048 94279434 100150929 125705912 133534572 141419151 188558868 200301858 267069144 282838302 377117736 400603716 565676604 801207432 1131353208 3126934561 6253869122 9380803683 12507738244 18761607366 25015476488 28142411049 37523214732 56284822098 75046429464 112569644196 225139288392