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2261763364 = 2272432792
BaseRepresentation
bin1000011011001111…
…1100010100100100
312211121220111001111
42012303330110210
514113002411424
61012233234404
7110022446200
oct20663742444
95747814044
102261763364
11a60785323
12531562a04
132a0778123
14176557b00
15d386c194
hex86cfc524

2261763364 has 81 divisors (see below), whose sum is σ = 4774295547. Its totient is φ = 934800048.

The previous prime is 2261763349. The next prime is 2261763367. The reversal of 2261763364 is 4633671622.

The square root of 2261763364 is 47558.

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

It is not an unprimeable number, because it can be changed into a prime (2261763367) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28629877 + ... + 28629955.

Almost surely, 22261763364 is an apocalyptic number.

2261763364 is the 47558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261763364

2261763364 is an abundant number, since it is smaller than the sum of its proper divisors (2512532183).

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

2261763364 is an equidigital number, since it uses as much as digits as its factorization.

2261763364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its digits is 217728, while the sum is 40.

The cubic root of 2261763364 is about 1312.6503389271.

It can be divided in two parts, 2261 and 763364, that added together give a square (765625 = 8752).

The spelling of 2261763364 in words is "two billion, two hundred sixty-one million, seven hundred sixty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 43 49 79 86 98 158 172 196 301 316 553 602 1106 1204 1849 2107 2212 3397 3698 3871 4214 6241 6794 7396 7742 8428 12482 12943 13588 15484 23779 24964 25886 43687 47558 51772 87374 90601 95116 146071 166453 174748 181202 268363 292142 305809 332906 362404 536726 584284 611618 665812 1022497 1073452 1223236 1878541 2044994 3757082 4089988 7157479 7514164 11539609 13149787 14314958 23079218 26299574 28629916 46158436 52599148 80777263 161554526 323109052 565440841 1130881682 2261763364