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226610451459396 = 22321921320492
BaseRepresentation
bin110011100001100111011011…
…011101100010110101000100
31002201100202011222202022121100
4303201213123131202311010
5214200241201033200041
62121543223152020100
765506031144546004
oct6341473335426504
91081322158668540
10226610451459396
1166228a53143484
12214ba759831630
13995a3739383b4
143dd600bdd6004
151b2e9d05646b6
hexce19db762d44

226610451459396 has 81 divisors (see below), whose sum is σ = 604560669606621. Its totient is φ = 71560653268608.

The previous prime is 226610451459391. The next prime is 226610451459401. The reversal of 226610451459396 is 693954154016622.

The square root of 226610451459396 is 15053586.

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

226610451459396 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 1 + 0 + 451 + 4 + 5 + 93 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (226610451459391) and next prime (226610451459401).

It can be written as a sum of positive squares in only one way, i.e., 138541986588996 + 88068464870400 = 11770386^2 + 9384480^2 .

It is not an unprimeable number, because it can be changed into a prime (226610451459391) 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, 1716042780 + ... + 1716174828.

Almost surely, 2226610451459396 is an apocalyptic number.

226610451459396 is the 15053586-th square number.

It is an amenable number.

226610451459396 is an abundant number, since it is smaller than the sum of its proper divisors (377950218147225).

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

226610451459396 is an frugal number, since it uses more digits than its factorization.

226610451459396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264146 (or 132073 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 226610451459396 in words is "two hundred twenty-six trillion, six hundred ten billion, four hundred fifty-one million, four hundred fifty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 132049 264098 396147 528196 792294 1188441 1584588 2376882 2508931 4753764 5017862 7526793 10035724 15053586 22580379 30107172 45160758 47669689 90321516 95339378 143009067 190678756 286018134 429027201 572036268 858054402 1716108804 17436938401 34873876802 52310815203 69747753604 104621630406 156932445609 209243260812 313864891218 331301829619 627729782436 662603659238 993905488857 1325207318476 1987810977714 2981716466571 3975621955428 5963432933142 6294734762761 11926865866284 12589469525522 18884204288283 25178939051044 37768408576566 56652612864849 75536817153132 113305225729698 226610451459396