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199237992 = 23331281953
BaseRepresentation
bin10111110000000…
…10000101101000
3111212220100010220
423320002011220
5402001103432
631434210040
74636331532
oct1370020550
9455810126
10199237992
11a25124a8
1256883920
133237b505
141c664852
151275872c
hexbe02168

199237992 has 64 divisors (see below), whose sum is σ = 516533760. Its totient is φ = 63974400.

The previous prime is 199237957. The next prime is 199237993. The reversal of 199237992 is 299732991.

It is a happy number.

199237992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (199237993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208588 + ... + 209540.

It is an arithmetic number, because the mean of its divisors is an integer number (8070840).

Almost surely, 2199237992 is an apocalyptic number.

199237992 is a gapful number since it is divisible by the number (12) 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 199237992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258266880).

199237992 is an abundant number, since it is smaller than the sum of its proper divisors (317295768).

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

199237992 is a wasteful number, since it uses less digits than its factorization.

199237992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1270 counting only the distinct ones).

The product of its digits is 551124, while the sum is 51.

The square root of 199237992 is about 14115.1688619017. The cubic root of 199237992 is about 584.0598940886.

The spelling of 199237992 in words is "one hundred ninety-nine million, two hundred thirty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 281 372 562 744 843 953 1124 1686 1906 2248 2859 3372 3812 5718 6744 7624 8711 11436 17422 22872 26133 29543 34844 52266 59086 69688 88629 104532 118172 177258 209064 236344 267793 354516 535586 709032 803379 1071172 1606758 2142344 3213516 6427032 8301583 16603166 24904749 33206332 49809498 66412664 99618996 199237992