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226161731053320 = 233573145917695373
BaseRepresentation
bin110011011011000101100001…
…101001000010011100001000
31002122202211221220010212212020
4303123011201221002130020
5214120413211122201240
62121001133120244440
765431434346202526
oct6333054151023410
91078684856125766
10226161731053320
1166075719178977
12214477aa170720
139926c6269c10a
143dbc401431316
151b22ebb7d50d0
hexcdb161a42708

226161731053320 has 128 divisors (see below), whose sum is σ = 688250954505600. Its totient is φ = 59442859874304.

The previous prime is 226161731053319. The next prime is 226161731053331. The reversal of 226161731053320 is 23350137161622.

It is a happy number.

It is a super-2 number, since 2×2261617310533202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3933154 + ... + 21628526.

It is an arithmetic number, because the mean of its divisors is an integer number (5376960582075).

Almost surely, 2226161731053320 is an apocalyptic number.

226161731053320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226161731053320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344125477252800).

226161731053320 is an abundant number, since it is smaller than the sum of its proper divisors (462089223452280).

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

226161731053320 is a wasteful number, since it uses less digits than its factorization.

226161731053320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17696919 (or 17696915 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 226161731053320 in words is "two hundred twenty-six trillion, one hundred sixty-one billion, seven hundred thirty-one million, fifty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1459 1460 1752 2190 2918 2920 4377 4380 5836 7295 8754 8760 11672 14590 17508 21885 29180 35016 43770 58360 87540 106507 175080 213014 319521 426028 532535 639042 852056 1065070 1278084 1597605 2130140 2556168 3195210 4260280 6390420 12780840 17695373 35390746 53086119 70781492 88476865 106172238 141562984 176953730 212344476 265430595 353907460 424688952 530861190 707814920 1061722380 1291762229 2123444760 2583524458 3875286687 5167048916 6458811145 7750573374 10334097832 12917622290 15501146748 19376433435 25817549207 25835244580 31002293496 38752866870 51635098414 51670489160 77452647621 77505733740 103270196828 129087746035 154905295242 155011467480 206540393656 258175492070 309810590484 387263238105 516350984140 619621180968 774526476210 1032701968280 1549052952420 1884681092111 3098105904840 3769362184222 5654043276333 7538724368444 9423405460555 11308086552666 15077448736888 18846810921110 22616173105332 28270216381665 37693621842220 45232346210664 56540432763330 75387243684440 113080865526660 226161731053320