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199972260 = 22335547677
BaseRepresentation
bin10111110101101…
…01010110100100
3111221021122101000
423322311112210
5402143103020
631502033300
74645510335
oct1372652644
9457248330
10199972260
11a2974134
1256b78830
13325777a7
141c7b628c
1512851090
hexbeb55a4

199972260 has 96 divisors (see below), whose sum is σ = 624193920. Its totient is φ = 53149824.

The previous prime is 199972259. The next prime is 199972273. The reversal of 199972260 is 62279991.

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, 295042 + ... + 295718.

It is an arithmetic number, because the mean of its divisors is an integer number (6502020).

Almost surely, 2199972260 is an apocalyptic number.

199972260 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 199972260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312096960).

199972260 is an abundant number, since it is smaller than the sum of its proper divisors (424221660).

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

199972260 is a wasteful number, since it uses less digits than its factorization.

199972260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1234 counting only the distinct ones).

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

The square root of 199972260 is about 14141.1548326153. The cubic root of 199972260 is about 584.7765089751.

The spelling of 199972260 in words is "one hundred ninety-nine million, nine hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 547 677 1094 1354 1641 2031 2188 2708 2735 3282 3385 4062 4923 5470 6093 6564 6770 8124 8205 9846 10155 10940 12186 13540 14769 16410 18279 19692 20310 24372 24615 29538 30465 32820 36558 40620 49230 59076 60930 73116 73845 91395 98460 121860 147690 182790 295380 365580 370319 740638 1110957 1481276 1851595 2221914 3332871 3703190 4443828 5554785 6665742 7406380 9998613 11109570 13331484 16664355 19997226 22219140 33328710 39994452 49993065 66657420 99986130 199972260