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2297999040 = 263510921961
BaseRepresentation
bin1000100011111000…
…1010111011000000
312221011002110001120
42020332022323000
514201241432130
61020010032240
7110642445441
oct21076127300
95834073046
102297999040
11a7a184767
12541718680
132a812445c
1417b2ab2c8
15d6b28910
hex88f8aec0

2297999040 has 112 divisors (see below), whose sum is σ = 7363419360. Its totient is φ = 607150080.

The previous prime is 2297999029. The next prime is 2297999051. The reversal of 2297999040 is 409997922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2297999029) and next prime (2297999051).

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, 93660 + ... + 115620.

Almost surely, 22297999040 is an apocalyptic number.

2297999040 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 2297999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681709680).

2297999040 is an abundant number, since it is smaller than the sum of its proper divisors (5065420320).

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

2297999040 is a wasteful number, since it uses less digits than its factorization.

2297999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22090 (or 22080 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 2297999040 is about 47937.4492437802. The cubic root of 2297999040 is about 1319.6232166110.

The spelling of 2297999040 in words is "two billion, two hundred ninety-seven million, nine hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 160 192 218 240 320 327 436 480 545 654 872 960 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 6976 8720 10464 13080 17440 20928 21961 26160 34880 43922 52320 65883 87844 104640 109805 131766 175688 219610 263532 329415 351376 439220 527064 658830 702752 878440 1054128 1317660 1405504 1756880 2108256 2393749 2635320 3513760 4216512 4787498 5270640 7027520 7181247 9574996 10541280 11968745 14362494 19149992 21082560 23937490 28724988 35906235 38299984 47874980 57449976 71812470 76599968 95749960 114899952 143624940 153199936 191499920 229799904 287249880 382999840 459599808 574499760 765999680 1148999520 2297999040