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2245343688 = 233277956393
BaseRepresentation
bin1000010111010101…
…0011100111001000
312210111000021111100
42011311103213020
514044301444223
61010445301400
7106433051340
oct20565234710
95714007440
102245343688
11a5248aa45
12527b64860
1329a249543
141742c1d20
15d21c7043
hex85d539c8

2245343688 has 96 divisors (see below), whose sum is σ = 7037971200. Its totient is φ = 633394944.

The previous prime is 2245343687. The next prime is 2245343701. The reversal of 2245343688 is 8863435422.

2245343688 is a `hidden beast` number, since 2 + 2 + 4 + 534 + 36 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (2245343687) 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, 11620 + ... + 68012.

It is an arithmetic number, because the mean of its divisors is an integer number (73312200).

Almost surely, 22245343688 is an apocalyptic number.

2245343688 is a gapful number since it is divisible by the number (28) 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 2245343688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518985600).

2245343688 is an abundant number, since it is smaller than the sum of its proper divisors (4792627512).

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

2245343688 is a wasteful number, since it uses less digits than its factorization.

2245343688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56491 (or 56484 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 2245343688 is about 47385.0576447892. The cubic root of 2245343688 is about 1309.4661476815.

The spelling of 2245343688 in words is "two billion, two hundred forty-five million, three hundred forty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1896 2212 2844 3318 4424 4977 5688 6636 9954 13272 19908 39816 56393 112786 169179 225572 338358 394751 451144 507537 676716 789502 1015074 1184253 1353432 1579004 2030148 2368506 3158008 3552759 4060296 4455047 4737012 7105518 8910094 9474024 13365141 14211036 17820188 26730282 28422072 31185329 35640376 40095423 53460564 62370658 80190846 93555987 106921128 124741316 160381692 187111974 249482632 280667961 320763384 374223948 561335922 748447896 1122671844 2245343688