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299980224 = 26321513449
BaseRepresentation
bin10001111000010…
…101010111000000
3202220110120111200
4101320111113000
51103243331344
645433341200
710301534625
oct2170252700
9686416450
10299980224
11144370645
1284567800
134a1c1abb
142bbaa34c
151b508069
hex11e155c0

299980224 has 84 divisors (see below), whose sum is σ = 865784400. Its totient is φ = 99302400.

The previous prime is 299980217. The next prime is 299980229. The reversal of 299980224 is 422089992.

299980224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 a self number, because there is not a number n which added to its sum of digits gives 299980224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299980229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85252 + ... + 88700.

Almost surely, 2299980224 is an apocalyptic number.

299980224 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 299980224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432892200).

299980224 is an abundant number, since it is smaller than the sum of its proper divisors (565804176).

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

299980224 is a wasteful number, since it uses less digits than its factorization.

299980224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3605 counting only the distinct ones).

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

The square root of 299980224 is about 17319.9371823341. The cubic root of 299980224 is about 669.4182400856.

The spelling of 299980224 in words is "two hundred ninety-nine million, nine hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 151 192 288 302 453 576 604 906 1208 1359 1812 2416 2718 3449 3624 4832 5436 6898 7248 9664 10347 10872 13796 14496 20694 21744 27592 28992 31041 41388 43488 55184 62082 82776 86976 110368 124164 165552 220736 248328 331104 496656 520799 662208 993312 1041598 1562397 1986624 2083196 3124794 4166392 4687191 6249588 8332784 9374382 12499176 16665568 18748764 24998352 33331136 37497528 49996704 74995056 99993408 149990112 299980224