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225947890674 = 232111924017883
BaseRepresentation
bin1101001001101110001…
…0110011001111110010
3210121012200211002212100
43102123202303033302
512200220130000144
6251444331241230
722216125245022
oct3223342631762
9717180732770
10225947890674
118790776a550
12379595a9216
13183cb04933c
14ad162cda82
155d26483269
hex349b8b33f2

225947890674 has 144 divisors (see below), whose sum is σ = 565123669344. Its totient is φ = 64695456000.

The previous prime is 225947890643. The next prime is 225947890699. The reversal of 225947890674 is 476098749522.

225947890674 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 478 + 90 + 6 + 74 = 666.

225947890674 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 28658737 + ... + 28666619.

It is an arithmetic number, because the mean of its divisors is an integer number (3924469926).

Almost surely, 2225947890674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225947890674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282561834672).

225947890674 is an abundant number, since it is smaller than the sum of its proper divisors (339175778670).

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

225947890674 is a wasteful number, since it uses less digits than its factorization.

225947890674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8341 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 225947890674 in words is "two hundred twenty-five billion, nine hundred forty-seven million, eight hundred ninety thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 361 401 418 627 722 802 1083 1203 1254 1881 2166 2406 3249 3609 3762 3971 4411 6498 7218 7619 7883 7942 8822 11913 13233 15238 15766 22857 23649 23826 26466 35739 39699 45714 47298 68571 70947 71478 79398 83809 86713 137142 141894 144761 149777 167618 173426 251427 260139 289522 299554 434283 449331 502854 520278 754281 780417 868566 898662 1302849 1347993 1508562 1560834 1592371 1647547 2605698 2695986 2845763 3161083 3184742 3295094 4777113 4942641 5691526 6322166 8537289 9483249 9554226 9885282 14331339 14827923 17074578 18966498 25611867 28449747 28662678 29655846 31303393 34771913 51223734 56899494 60060577 62606786 69543826 93910179 104315739 120121154 180181731 187820358 208631478 281730537 312947217 360363462 540545193 563461074 625894434 660666347 1081090386 1141150963 1321332694 1981999041 2282301926 3423452889 3963998082 5945997123 6846905778 10270358667 11891994246 12552660593 20540717334 25105321186 37657981779 75315963558 112973945337 225947890674