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2261157227244 = 223467104162393
BaseRepresentation
bin100000111001110111011…
…110010010101011101100
322000011102221020120120000
4200321313132102223230
5244021322222232434
64450432234424300
7322235404211106
oct40716736225354
98004387216500
102261157227244
117a1a51340aa3
12306288b92090
131352c2caa276
147b624dbc576
153dc40591b99
hex20e77792aec

2261157227244 has 60 divisors (see below), whose sum is σ = 5999337244824. Its totient is φ = 742469530176.

The previous prime is 2261157227243. The next prime is 2261157227321. The reversal of 2261157227244 is 4427227511622.

2261157227244 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 1 + 572 + 2 + 72 + 4 + 4 = 666.

It is a super-2 number, since 2×22611572272442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2261157227244.

It is not an unprimeable number, because it can be changed into a prime (2261157227243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52059489 + ... + 52102904.

Almost surely, 22261157227244 is an apocalyptic number.

It is an amenable number.

2261157227244 is an abundant number, since it is smaller than the sum of its proper divisors (3738180017580).

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

2261157227244 is a wasteful number, since it uses less digits than its factorization.

2261157227244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104162476 (or 104162465 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 2261157227244 in words is "two trillion, two hundred sixty-one billion, one hundred fifty-seven million, two hundred twenty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 402 603 804 1206 1809 2412 3618 5427 7236 10854 21708 104162393 208324786 312487179 416649572 624974358 937461537 1249948716 1874923074 2812384611 3749846148 5624769222 6978880331 8437153833 11249538444 13957760662 16874307666 20936640993 27915521324 33748615332 41873281986 62809922979 83746563972 125619845958 188429768937 251239691916 376859537874 565289306811 753719075748 1130578613622 2261157227244