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2280256340 = 2252345710847
BaseRepresentation
bin1000011111101001…
…1111001101010100
312212220201000122112
42013322133031110
514132221200330
61014133450152
7110335600445
oct20772371524
95786630575
102280256340
11a7016637a
125377a0958
132a455160b
14178bad2cc
15d52c1795
hex87e9f354

2280256340 has 48 divisors (see below), whose sum is σ = 5008131072. Its totient is φ = 870456576.

The previous prime is 2280256339. The next prime is 2280256357. The reversal of 2280256340 is 436520822.

It is a super-2 number, since 2×22802563402 = 10399137952220391200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2280256297 and 2280256306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204797 + ... + 215643.

It is an arithmetic number, because the mean of its divisors is an integer number (104336064).

Almost surely, 22280256340 is an apocalyptic number.

2280256340 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 2280256340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504065536).

2280256340 is an abundant number, since it is smaller than the sum of its proper divisors (2727874732).

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

2280256340 is a wasteful number, since it uses less digits than its factorization.

2280256340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11336 (or 11334 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2280256340 is about 47752.0296950821. The cubic root of 2280256340 is about 1316.2181967450.

The spelling of 2280256340 in words is "two billion, two hundred eighty million, two hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 457 460 914 1828 2285 4570 9140 10511 10847 21022 21694 42044 43388 52555 54235 105110 108470 210220 216940 249481 498962 997924 1247405 2494810 4957079 4989620 9914158 19828316 24785395 49570790 99141580 114012817 228025634 456051268 570064085 1140128170 2280256340