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199944520 = 23523713061
BaseRepresentation
bin10111110101011…
…10100101001000
3111221020020022121
423322232211020
5402141211040
631501301024
74645333426
oct1372564510
9457206277
10199944520
11a2955306
1256b64774
1332567c89
141c7aa116
1512847c4a
hexbeae948

199944520 has 64 divisors (see below), whose sum is σ = 476202240. Its totient is φ = 75398400.

The previous prime is 199944517. The next prime is 199944557. The reversal of 199944520 is 25449991.

It is a super-2 number, since 2×1999445202 = 79955622156060800, which contains 22 as substring.

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, 63790 + ... + 66850.

It is an arithmetic number, because the mean of its divisors is an integer number (7440660).

Almost surely, 2199944520 is an apocalyptic number.

199944520 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 199944520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238101120).

199944520 is an abundant number, since it is smaller than the sum of its proper divisors (276257720).

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

199944520 is a wasteful number, since it uses less digits than its factorization.

199944520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 199944520 is about 14140.1739734701. The cubic root of 199944520 is about 584.7494678070.

The spelling of 199944520 in words is "one hundred ninety-nine million, nine hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 284 355 460 568 710 920 1420 1633 2840 3061 3266 6122 6532 8165 12244 13064 15305 16330 24488 30610 32660 61220 65320 70403 122440 140806 217331 281612 352015 434662 563224 704030 869324 1086655 1408060 1738648 2173310 2816120 4346620 4998613 8693240 9997226 19994452 24993065 39988904 49986130 99972260 199944520