Search a number
-
+
2260773564 = 223725965167
BaseRepresentation
bin1000011011000000…
…1010101010111100
312211120001012022020
42012300022222330
514112224223224
61012200120140
7110011154400
oct20660125274
95746035266
102260773564
11a60169705
12531166050
132a04bc74a
1417637b100
15d3723c79
hex86c0aabc

2260773564 has 72 divisors (see below), whose sum is σ = 6240487680. Its totient is φ = 634977504.

The previous prime is 2260773553. The next prime is 2260773617. The reversal of 2260773564 is 4653770622.

It is a super-2 number, since 2×22607735642 = 10222194215362524192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2109 + ... + 67275.

It is an arithmetic number, because the mean of its divisors is an integer number (86673440).

Almost surely, 22260773564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260773564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120243840).

2260773564 is an abundant number, since it is smaller than the sum of its proper divisors (3979714116).

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

2260773564 is a wasteful number, since it uses less digits than its factorization.

2260773564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65247 (or 65238 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 2260773564 is about 47547.5926204471. The cubic root of 2260773564 is about 1312.4588289308.

The spelling of 2260773564 in words is "two billion, two hundred sixty million, seven hundred seventy-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1652 2478 2891 4956 5782 8673 11564 17346 34692 65167 130334 195501 260668 391002 456169 782004 912338 1368507 1824676 2737014 3193183 3844853 5474028 6386366 7689706 9579549 11534559 12772732 15379412 19159098 23069118 26913971 38318196 46138236 53827942 80741913 107655884 161483826 188397797 322967652 376795594 565193391 753591188 1130386782 2260773564