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199317924 = 22321321812
BaseRepresentation
bin10111110000101…
…01100110100100
3111220001101210100
423320111212210
5402011133144
631440024100
74640113551
oct1370254644
9456041710
10199317924
11a2567563
1256902030
13323a8a00
141c685a28
1512772269
hexbe159a4

199317924 has 81 divisors (see below), whose sum is σ = 548599779. Its totient is φ = 60989760.

The previous prime is 199317919. The next prime is 199317953. The reversal of 199317924 is 429713991.

The square root of 199317924 is 14118.

It is a perfect power (a square), and thus also a powerful number.

199317924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 153512100 + 45805824 = 12390^2 + 6768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 199317924.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1101114 + ... + 1101294.

Almost surely, 2199317924 is an apocalyptic number.

199317924 is the 14118-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199317924

199317924 is an abundant number, since it is smaller than the sum of its proper divisors (349281855).

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

199317924 is a wasteful number, since it uses less digits than its factorization.

199317924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The cubic root of 199317924 is about 584.1379896921.

The spelling of 199317924 in words is "one hundred ninety-nine million, three hundred seventeen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 181 234 338 362 468 507 543 676 724 1014 1086 1521 1629 2028 2172 2353 3042 3258 4706 6084 6516 7059 9412 14118 21177 28236 30589 32761 42354 61178 65522 84708 91767 98283 122356 131044 183534 196566 275301 294849 367068 393132 425893 550602 589698 851786 1101204 1179396 1277679 1703572 2555358 3833037 5110716 5536609 7666074 11073218 15332148 16609827 22146436 33219654 49829481 66439308 99658962 199317924