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199292980 = 22542123669
BaseRepresentation
bin10111110000011…
…11100000110100
3111220000010120111
423320033200310
5402004333410
631435312404
74636651045
oct1370174064
9456003514
10199292980
11a254a847
12568ab704
133239a553
141c67a8cc
1512769b8a
hexbe0f834

199292980 has 24 divisors (see below), whose sum is σ = 419527080. Its totient is φ = 79524480.

The previous prime is 199292969. The next prime is 199292987. The reversal of 199292980 is 89292991.

It is a happy number.

199292980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 196616484 = 1636^2 + 14022^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199292987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3415 + ... + 20254.

It is an arithmetic number, because the mean of its divisors is an integer number (17480295).

Almost surely, 2199292980 is an apocalyptic number.

199292980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199292980 is an abundant number, since it is smaller than the sum of its proper divisors (220234100).

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

199292980 is a wasteful number, since it uses less digits than its factorization.

199292980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24099 (or 24097 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 49.

The square root of 199292980 is about 14117.1165611112. The cubic root of 199292980 is about 584.1136210091.

The spelling of 199292980 in words is "one hundred ninety-nine million, two hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 421 842 1684 2105 4210 8420 23669 47338 94676 118345 236690 473380 9964649 19929298 39858596 49823245 99646490 199292980