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226361625894 = 2344371457679
BaseRepresentation
bin1101001011010000110…
…1000100110100100110
3210122021112100000220000
43102310031010310212
512202042034012034
6251553351122130
722232311034115
oct3226415046446
9718245300800
10226361625894
1187aaa266988
1237a54073346
1318465989691
14ad5522bc7c
155d4c95b599
hex34b4344d26

226361625894 has 80 divisors (see below), whose sum is σ = 526324677120. Its totient is φ = 72660959280.

The previous prime is 226361625871. The next prime is 226361625901. The reversal of 226361625894 is 498526163622.

226361625894 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 6 + 1 + 625 + 8 + 9 + 4 = 666.

It is a super-2 number, since 2×2263616258942 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 226361625894.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265747 + ... + 723425.

It is an arithmetic number, because the mean of its divisors is an integer number (6579058464).

Almost surely, 2226361625894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226361625894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263162338560).

226361625894 is an abundant number, since it is smaller than the sum of its proper divisors (299963051226).

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

226361625894 is a wasteful number, since it uses less digits than its factorization.

226361625894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457807 (or 457798 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 226361625894 in words is "two hundred twenty-six billion, three hundred sixty-one million, six hundred twenty-five thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 43 54 71 81 86 129 142 162 213 258 387 426 639 774 1161 1278 1917 2322 3053 3483 3834 5751 6106 6966 9159 11502 18318 27477 54954 82431 164862 247293 457679 494586 915358 1373037 2746074 4119111 8238222 12357333 19680197 24714666 32495209 37071999 39360394 59040591 64990418 74143998 97485627 118081182 177121773 194971254 292456881 354243546 531365319 584913762 877370643 1062730638 1397293987 1594095957 1754741286 2632111929 2794587974 3188191914 4191881961 5264223858 8383763922 12575645883 25151291766 37726937649 75453875298 113180812947 226361625894