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2263650340 = 2257232412917
BaseRepresentation
bin1000011011101100…
…1001000000100100
312211202110100111111
42012323021000210
514113443302330
61012341514404
7110044465450
oct20673110044
95752410444
102263650340
11a61854006
12532112a04
132a0c88c93
141768c9660
15d3ae132a
hex86ec9024

2263650340 has 96 divisors (see below), whose sum is σ = 5694441984. Its totient is φ = 739031040.

The previous prime is 2263650307. The next prime is 2263650353. The reversal of 2263650340 is 430563622.

It is a happy number.

It is a super-2 number, since 2×22636503402 = 10248225723564231200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774562 + ... + 777478.

It is an arithmetic number, because the mean of its divisors is an integer number (59317104).

Almost surely, 22263650340 is an apocalyptic number.

2263650340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263650340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847220992).

2263650340 is an abundant number, since it is smaller than the sum of its proper divisors (3430791644).

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

2263650340 is a wasteful number, since it uses less digits than its factorization.

2263650340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 2263650340 is about 47577.8345450904. The cubic root of 2263650340 is about 1313.0152829662.

The spelling of 2263650340 in words is "two billion, two hundred sixty-three million, six hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 241 322 460 482 644 805 964 1205 1610 1687 2410 2917 3220 3374 4820 5543 5834 6748 8435 11086 11668 14585 16870 20419 22172 27715 29170 33740 38801 40838 55430 58340 67091 77602 81676 102095 110860 134182 155204 194005 204190 268364 335455 388010 408380 469637 670910 702997 776020 939274 1341820 1405994 1878548 2348185 2811988 3514985 4696370 4920979 7029970 9392740 9841958 14059940 16168931 19683916 24604895 32337862 49209790 64675724 80844655 98419580 113182517 161689310 226365034 323378620 452730068 565912585 1131825170 2263650340