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2288950314 = 237375992459
BaseRepresentation
bin1000100001101110…
…1001110000101010
312220112001201112120
42020123221300222
514141432402224
61015044052110
7110502520350
oct21033516052
95815051476
102288950314
11a75064282
1253a694036
132a62a6891
14179dd37d0
15d5e3c779
hex886e9c2a

2288950314 has 64 divisors (see below), whose sum is σ = 5384448000. Its totient is φ = 634989888.

The previous prime is 2288950297. The next prime is 2288950361. The reversal of 2288950314 is 4130598822.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929617 + ... + 932075.

It is an arithmetic number, because the mean of its divisors is an integer number (84132000).

Almost surely, 22288950314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288950314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692224000).

2288950314 is an abundant number, since it is smaller than the sum of its proper divisors (3095497686).

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

2288950314 is a wasteful number, since it uses less digits than its factorization.

2288950314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107.

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2288950314 is about 47842.9755972598. The cubic root of 2288950314 is about 1317.8888648067. Note that the first 4 decimals are identical.

The spelling of 2288950314 in words is "two billion, two hundred eighty-eight million, nine hundred fifty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 599 777 1198 1554 1797 2459 3594 4193 4918 7377 8386 12579 14754 17213 22163 25158 34426 44326 51639 66489 90983 103278 132978 155141 181966 272949 310282 465423 545898 636881 930846 1273762 1472941 1910643 2945882 3821286 4418823 8837646 10310587 20621174 30931761 54498817 61863522 108997634 163496451 326992902 381491719 762983438 1144475157 2288950314