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2282445880 = 2351113795051
BaseRepresentation
bin1000100000001011…
…0101110000111000
312220001211021010121
42020002311300320
514133301232010
61014252423024
7110363320111
oct21002656070
95801737117
102282445880
11a71421410
12538477a74
132a4b3a0c0
141791bd208
15d55a53da
hex880b5c38

2282445880 has 128 divisors (see below), whose sum is σ = 6110899200. Its totient is φ = 756288000.

The previous prime is 2282445859. The next prime is 2282445883. The reversal of 2282445880 is 885442822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282445883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449355 + ... + 454405.

It is an arithmetic number, because the mean of its divisors is an integer number (47741400).

Almost surely, 22282445880 is an apocalyptic number.

2282445880 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 2282445880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055449600).

2282445880 is an abundant number, since it is smaller than the sum of its proper divisors (3828453320).

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

2282445880 is a wasteful number, since it uses less digits than its factorization.

2282445880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 43.

The square root of 2282445880 is about 47774.9503401102. The cubic root of 2282445880 is about 1316.6393468312.

The spelling of 2282445880 in words is "two billion, two hundred eighty-two million, four hundred forty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 79 88 104 110 130 143 158 220 260 286 316 395 440 520 572 632 715 790 869 1027 1144 1430 1580 1738 2054 2860 3160 3476 4108 4345 5051 5135 5720 6952 8216 8690 10102 10270 11297 17380 20204 20540 22594 25255 34760 40408 41080 45188 50510 55561 56485 65663 90376 101020 111122 112970 131326 202040 222244 225940 262652 277805 328315 399029 444488 451880 525304 555610 656630 722293 798058 1111220 1313260 1444586 1596116 1995145 2222440 2626520 2889172 3192232 3611465 3990290 4389319 5187377 5778344 7222930 7980580 8778638 10374754 14445860 15961160 17557276 20749508 21946595 25936885 28891720 35114552 41499016 43893190 51873770 57061147 87786380 103747540 114122294 175572760 207495080 228244588 285305735 456489176 570611470 1141222940 2282445880