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226694096900496 = 2432432291792
BaseRepresentation
bin110011100010110101010101…
…000111100101000110010000
31002201122202002101101222200100
4303202311111013211012100
5214203124002301303441
62122045455212052400
765515052023221531
oct6342652507450620
91081582071358610
10226694096900496
11662604768853a5
1221512a02464100
1399652140a0644
143dda0a4d8c688
151b31c78abdcb6
hexce2d551e5190

226694096900496 has 135 divisors (see below), whose sum is σ = 649548152993259. Its totient is φ = 73804850917056.

The previous prime is 226694096900473. The next prime is 226694096900633. The reversal of 226694096900496 is 694009690496622.

The square root of 226694096900496 is 15056364.

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

226694096900496 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 9 + 40 + 9 + 6 + 90 + 0 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7769069235 + ... + 7769098413.

Almost surely, 2226694096900496 is an apocalyptic number.

226694096900496 is the 15056364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226694096900496

226694096900496 is an abundant number, since it is smaller than the sum of its proper divisors (422854056092763).

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

226694096900496 is an frugal number, since it uses more digits than its factorization.

226694096900496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58458 (or 29227 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 72.

The spelling of 226694096900496 in words is "two hundred twenty-six trillion, six hundred ninety-four billion, ninety-six million, nine hundred thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1849 2064 3096 3698 5547 6192 7396 11094 14792 16641 22188 29179 29584 33282 44376 58358 66564 87537 88752 116716 133128 175074 233432 262611 266256 350148 466864 525222 700296 1050444 1254697 1400592 2100888 2509394 3764091 4201776 5018788 7528182 10037576 11292273 15056364 20075152 22584546 30112728 45169092 53951971 60225456 90338184 107903942 161855913 180676368 215807884 323711826 431615768 485567739 647423652 851414041 863231536 971135478 1294847304 1702828082 1942270956 2554242123 2589694608 3405656164 3884541912 5108484246 6811312328 7662726369 7769083824 10216968492 13622624656 15325452738 20433936984 30650905476 36610803763 40867873968 61301810952 73221607526 109832411289 122603621904 146443215052 219664822578 292886430104 329497233867 439329645156 585772860208 658994467734 878659290312 1317988935468 1574264561809 1757318580624 2635977870936 3148529123618 4722793685427 5271955741872 6297058247236 9445587370854 12594116494472 14168381056281 18891174741708 25188232988944 28336762112562 37782349483416 56673524225124 75564698966832 113347048450248 226694096900496