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199552680 = 23335434297
BaseRepresentation
bin10111110010011…
…10111010101000
3111220111022211000
423321032322220
5402041141210
631445035000
74642112145
oct1371167250
9456438730
10199552680
11a2707978
12569b5a60
133245b812
141c7073cc
15127bbac0
hexbe4eea8

199552680 has 128 divisors (see below), whose sum is σ = 680803200. Its totient is φ = 51964416.

The previous prime is 199552651. The next prime is 199552751. The reversal of 199552680 is 86255991.

199552680 is a `hidden beast` number, since 1 + 99 + 552 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44292 + ... + 48588.

It is an arithmetic number, because the mean of its divisors is an integer number (5318775).

Almost surely, 2199552680 is an apocalyptic number.

199552680 is a gapful number since it is divisible by the number (10) 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 199552680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340401600).

199552680 is an abundant number, since it is smaller than the sum of its proper divisors (481250520).

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

199552680 is a wasteful number, since it uses less digits than its factorization.

199552680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 199552680 is about 14126.3116205186. The cubic root of 199552680 is about 584.3672316544.

The spelling of 199552680 in words is "one hundred ninety-nine million, five hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1548 1720 1935 2322 2580 3096 3870 4297 4644 5160 5805 7740 8594 9288 11610 12891 15480 17188 21485 23220 25782 34376 38673 42970 46440 51564 64455 77346 85940 103128 116019 128910 154692 171880 184771 193365 232038 257820 309384 369542 386730 464076 515640 554313 580095 739084 773460 923855 928152 1108626 1160190 1478168 1546920 1662939 1847710 2217252 2320380 2771565 3325878 3695420 4434504 4640760 4988817 5543130 6651756 7390840 8314695 9977634 11086260 13303512 16629390 19955268 22172520 24944085 33258780 39910536 49888170 66517560 99776340 199552680