Search a number
-
+
299224320 = 2835292687
BaseRepresentation
bin10001110101011…
…100110100000000
3202212001011121020
4101311130310000
51103100134240
645405225440
710262236053
oct2165346400
9685034536
10299224320
111439a472a
1284262280
1349cb8a15
142ba50a9a
151b4090d0
hex11d5cd00

299224320 has 144 divisors (see below), whose sum is σ = 988968960. Its totient is φ = 77012992.

The previous prime is 299224309. The next prime is 299224351. The reversal of 299224320 is 23422992.

It is a happy number.

299224320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 110017 + ... + 112703.

It is an arithmetic number, because the mean of its divisors is an integer number (6867840).

Almost surely, 2299224320 is an apocalyptic number.

299224320 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 299224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494484480).

299224320 is an abundant number, since it is smaller than the sum of its proper divisors (689744640).

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

299224320 is a wasteful number, since it uses less digits than its factorization.

299224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 299224320 is about 17298.1016299477. The cubic root of 299224320 is about 668.8554901571.

The spelling of 299224320 in words is "two hundred ninety-nine million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1740 1856 1920 2320 2687 2784 3480 3712 3840 4640 5374 5568 6960 7424 8061 9280 10748 11136 13435 13920 16122 18560 21496 22272 26870 27840 32244 37120 40305 42992 53740 55680 64488 77923 80610 85984 107480 111360 128976 155846 161220 171968 214960 233769 257952 311692 322440 343936 389615 429920 467538 515904 623384 644880 687872 779230 859840 935076 1031808 1168845 1246768 1289760 1558460 1719680 1870152 2063616 2337690 2493536 2579520 3116920 3439360 3740304 4675380 4987072 5159040 6233840 7480608 9350760 9974144 10318080 12467680 14961216 18701520 19948288 24935360 29922432 37403040 49870720 59844864 74806080 99741440 149612160 299224320