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199955520 = 2633523143
BaseRepresentation
bin10111110101100…
…01010001000000
3111221020210102000
423322301101000
5402142034040
631501424000
74645410462
oct1372612100
9457223360
10199955520
11a29625a6
1256b6b000
133256cc9b
141c7b0132
151284b130
hexbeb1440

199955520 has 112 divisors (see below), whose sum is σ = 705429120. Its totient is φ = 53319168.

The previous prime is 199955489. The next prime is 199955533. The reversal of 199955520 is 25559991.

199955520 is a `hidden beast` number, since 1 + 9 + 9 + 95 + 552 + 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 15 ways as a sum of consecutive naturals, for example, 2932 + ... + 20211.

Almost surely, 2199955520 is an apocalyptic number.

199955520 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 199955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352714560).

199955520 is an abundant number, since it is smaller than the sum of its proper divisors (505473600).

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

199955520 is a wasteful number, since it uses less digits than its factorization.

199955520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23169 (or 23153 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 45.

The square root of 199955520 is about 14140.5629308030. The cubic root of 199955520 is about 584.7601909919.

The spelling of 199955520 in words is "one hundred ninety-nine million, nine hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 23143 46286 69429 92572 115715 138858 185144 208287 231430 277716 347145 370288 416574 462860 555432 624861 694290 740576 833148 925720 1041435 1110864 1249722 1388580 1481152 1666296 1851440 2082870 2221728 2499444 2777160 3124305 3332592 3702880 4165740 4443456 4998888 5554320 6248610 6665184 7405760 8331480 9997776 11108640 12497220 13330368 16662960 19995552 22217280 24994440 33325920 39991104 49988880 66651840 99977760 199955520