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299905056 = 253211137691
BaseRepresentation
bin10001111000000…
…011000000100000
3202220022202101200
4101320003000200
51103233430211
645432001200
710301102523
oct2170030040
9686282350
10299905056
1114431a120
1284530200
134a196819
142bb8abba
151b4e0b56
hex11e03020

299905056 has 144 divisors (see below), whose sum is σ = 938534688. Its totient is φ = 90086400.

The previous prime is 299905049. The next prime is 299905079. The reversal of 299905056 is 650509992.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2999050562 = 179886085228726272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433671 + ... + 434361.

It is an arithmetic number, because the mean of its divisors is an integer number (6517602).

Almost surely, 2299905056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299905056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469267344).

299905056 is an abundant number, since it is smaller than the sum of its proper divisors (638629632).

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

299905056 is a wasteful number, since it uses less digits than its factorization.

299905056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 299905056 is about 17317.7670616047. The cubic root of 299905056 is about 669.3623219175.

The spelling of 299905056 in words is "two hundred ninety-nine million, nine hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 137 144 176 198 264 274 288 352 396 411 528 548 691 792 822 1056 1096 1233 1382 1507 1584 1644 2073 2192 2466 2764 3014 3168 3288 4146 4384 4521 4932 5528 6028 6219 6576 7601 8292 9042 9864 11056 12056 12438 13152 13563 15202 16584 18084 19728 22112 22803 24112 24876 27126 30404 33168 36168 39456 45606 48224 49752 54252 60808 66336 68409 72336 91212 94667 99504 108504 121616 136818 144672 182424 189334 199008 217008 243232 273636 284001 364848 378668 434016 547272 568002 729696 757336 852003 1041337 1094544 1136004 1514672 1704006 2082674 2189088 2272008 3029344 3124011 3408012 4165348 4544016 6248022 6816024 8330696 9088032 9372033 12496044 13632048 16661392 18744066 24992088 27264096 33322784 37488132 49984176 74976264 99968352 149952528 299905056