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2260816704 = 26331308343
BaseRepresentation
bin1000011011000001…
…0101001101000000
312211120010101111000
42012300111031000
514112232113304
61012201052000
7110011424226
oct20660251500
95746111430
102260816704
11a60199063
12531187000
132a0506283
1417638cb16
15d3731939
hex86c15340

2260816704 has 56 divisors (see below), whose sum is σ = 6646387520. Its totient is φ = 753604992.

The previous prime is 2260816697. The next prime is 2260816721. The reversal of 2260816704 is 4076180622.

It is a super-2 number, since 2×22608167042 = 10222584338170847232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 652444 + ... + 655899.

Almost surely, 22260816704 is an apocalyptic number.

2260816704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2260816704 is an abundant number, since it is smaller than the sum of its proper divisors (4385570816).

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

2260816704 is a wasteful number, since it uses less digits than its factorization.

2260816704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308364 (or 1308348 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2260816704 is about 47548.0462690109. The cubic root of 2260816704 is about 1312.4671769751.

The spelling of 2260816704 in words is "two billion, two hundred sixty million, eight hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1308343 2616686 3925029 5233372 7850058 10466744 11775087 15700116 20933488 23550174 31400232 35325261 41866976 47100348 62800464 70650522 83733952 94200696 125600928 141301044 188401392 251201856 282602088 376802784 565204176 753605568 1130408352 2260816704