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2260664040 = 2335115316339
BaseRepresentation
bin1000011010111110…
…1111111011101000
312211112211122001210
42012233233323220
514112212222130
61012153513120
7110010220155
oct20657577350
95745748053
102260664040
11a600a4398
125311127a0
132a048193b
1417634d22c
15d37015b0
hex86befee8

2260664040 has 64 divisors (see below), whose sum is σ = 6788289600. Its totient is φ = 602284032.

The previous prime is 2260664039. The next prime is 2260664041. The reversal of 2260664040 is 404660622.

It is an interprime number because it is at equal distance from previous prime (2260664039) and next prime (2260664041).

It is a super-2 number, since 2×22606640402 = 10221203803498243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2260663989 and 2260664007.

It is not an unprimeable number, because it can be changed into a prime (2260664041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130191 + ... + 146529.

It is an arithmetic number, because the mean of its divisors is an integer number (106067025).

Almost surely, 22260664040 is an apocalyptic number.

2260664040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260664040 is an abundant number, since it is smaller than the sum of its proper divisors (4527625560).

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

2260664040 is a wasteful number, since it uses less digits than its factorization.

2260664040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17506 (or 17502 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2260664040 is about 47546.4408762633. The cubic root of 2260664040 is about 1312.4376344063.

The spelling of 2260664040 in words is "two billion, two hundred sixty million, six hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1153 2306 3459 4612 5765 6918 9224 11530 13836 16339 17295 23060 27672 32678 34590 46120 49017 65356 69180 81695 98034 130712 138360 163390 196068 245085 326780 392136 490170 653560 980340 1960680 18838867 37677734 56516601 75355468 94194335 113033202 150710936 188388670 226066404 282583005 376777340 452132808 565166010 753554680 1130332020 2260664040