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2290422800 = 245223475297
BaseRepresentation
bin1000100010000101…
…0001010000010000
312220121211112102002
42020201101100100
514142322012200
61015135413132
7110521162331
oct21041212020
95817745362
102290422800
11a7597a606
1253b0841a8
132a66a0b83
1417a298288
15d612dbd5
hex88851410

2290422800 has 120 divisors (see below), whose sum is σ = 5865267456. Its totient is φ = 857528320.

The previous prime is 2290422793. The next prime is 2290422809. The reversal of 2290422800 is 82240922.

It is not an unprimeable number, because it can be changed into a prime (2290422809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429752 + ... + 435048.

Almost surely, 22290422800 is an apocalyptic number.

2290422800 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 2290422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932633728).

2290422800 is an abundant number, since it is smaller than the sum of its proper divisors (3574844656).

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

2290422800 is a wasteful number, since it uses less digits than its factorization.

2290422800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2290422800 is about 47858.3618608076. The cubic root of 2290422800 is about 1318.1714043497.

The spelling of 2290422800 in words is "two billion, two hundred ninety million, four hundred twenty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 47 50 80 92 94 100 115 184 188 200 230 235 368 376 400 460 470 575 752 920 940 1081 1150 1175 1840 1880 2162 2300 2350 3760 4324 4600 4700 5297 5405 8648 9200 9400 10594 10810 17296 18800 21188 21620 26485 27025 42376 43240 52970 54050 84752 86480 105940 108100 121831 132425 211880 216200 243662 248959 264850 423760 432400 487324 497918 529700 609155 974648 995836 1059400 1218310 1244795 1949296 1991672 2118800 2436620 2489590 3045775 3983344 4873240 4979180 5726057 6091550 6223975 9746480 9958360 11452114 12183100 12447950 19916720 22904228 24366200 24895900 28630285 45808456 48732400 49791800 57260570 91616912 99583600 114521140 143151425 229042280 286302850 458084560 572605700 1145211400 2290422800