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299801664 = 26321721801
BaseRepresentation
bin10001110111101…
…001110001000000
3202220010111120100
4101313221301000
51103222123124
645425442400
710300162221
oct2167516100
9686114510
10299801664
11144259478
12844a0400
134a15b746
142bb61248
151b4c01c9
hex11de9c40

299801664 has 126 divisors (see below), whose sum is σ = 913356314. Its totient is φ = 94003200.

The previous prime is 299801653. The next prime is 299801693. The reversal of 299801664 is 466108992.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 63872064 + 235929600 = 7992^2 + 15360^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 165564 + ... + 167364.

Almost surely, 2299801664 is an apocalyptic number.

299801664 is a gapful number since it is divisible by the number (24) 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 299801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456678157).

299801664 is an abundant number, since it is smaller than the sum of its proper divisors (613554650).

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

299801664 is a wasteful number, since it uses less digits than its factorization.

299801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 299801664 is about 17314.7816619211. The cubic root of 299801664 is about 669.2853923890.

The spelling of 299801664 in words is "two hundred ninety-nine million, eight hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 408 544 576 578 612 816 867 1088 1156 1224 1632 1734 1801 2312 2448 2601 3264 3468 3602 4624 4896 5202 5403 6936 7204 9248 9792 10404 10806 13872 14408 16209 18496 20808 21612 27744 28816 30617 32418 41616 43224 55488 57632 61234 64836 83232 86448 91851 115264 122468 129672 166464 172896 183702 244936 259344 275553 345792 367404 489872 518688 520489 551106 734808 979744 1037376 1040978 1102212 1469616 1561467 1959488 2081956 2204424 2939232 3122934 4163912 4408848 4684401 5878464 6245868 8327824 8817696 9368802 12491736 16655648 17635392 18737604 24983472 33311296 37475208 49966944 74950416 99933888 149900832 299801664