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226610036520 = 23357421640793
BaseRepresentation
bin1101001100001100000…
…0101011111100101000
3210122220211202121012120
43103003000223330220
512203044132132040
6252034143311240
722241415346260
oct3230300537450
9718824677176
10226610036520
118811750451a
1237b032ab520
13184a529380a
14ad7a2127a0
155d646797d0
hex34c302bf28

226610036520 has 128 divisors (see below), whose sum is σ = 778795395840. Its totient is φ = 51673466880.

The previous prime is 226610036503. The next prime is 226610036561. The reversal of 226610036520 is 25630016622.

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 31 ways as a sum of consecutive naturals, for example, 33244 + ... + 674036.

It is an arithmetic number, because the mean of its divisors is an integer number (6084339030).

Almost surely, 2226610036520 is an apocalyptic number.

226610036520 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 226610036520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389397697920).

226610036520 is an abundant number, since it is smaller than the sum of its proper divisors (552185359320).

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

226610036520 is a wasteful number, since it uses less digits than its factorization.

226610036520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641235 (or 641231 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 226610036520 in words is "two hundred twenty-six billion, six hundred ten million, thirty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 421 840 842 1263 1684 2105 2526 2947 3368 4210 5052 5894 6315 8420 8841 10104 11788 12630 14735 16840 17682 23576 25260 29470 35364 44205 50520 58940 70728 88410 117880 176820 353640 640793 1281586 1922379 2563172 3203965 3844758 4485551 5126344 6407930 7689516 8971102 9611895 12815860 13456653 15379032 17942204 19223790 22427755 25631720 26913306 35884408 38447580 44855510 53826612 67283265 76895160 89711020 107653224 134566530 179422040 269133060 269773853 538266120 539547706 809321559 1079095412 1348869265 1618643118 1888416971 2158190824 2697738530 3237286236 3776833942 4046607795 5395477060 5665250913 6474572472 7553667884 8093215590 9442084855 10790954120 11330501826 15107335768 16186431180 18884169710 22661003652 28326254565 32372862360 37768339420 45322007304 56652509130 75536678840 113305018260 226610036520