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199304952 = 23373113171
BaseRepresentation
bin10111110000100…
…10011011111000
3111220000201222220
423320102123320
5402010224302
631435444040
74640031000
oct1370223370
9456021886
10199304952
11a2558840
12568b6620
13323a2b32
141c681000
151276d4bc
hexbe126f8

199304952 has 256 divisors, whose sum is σ = 663552000. Its totient is φ = 49392000.

The previous prime is 199304879. The next prime is 199304999. The reversal of 199304952 is 259403991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2807077 + ... + 2807147.

It is an arithmetic number, because the mean of its divisors is an integer number (2592000).

Almost surely, 2199304952 is an apocalyptic number.

199304952 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 199304952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331776000).

199304952 is an abundant number, since it is smaller than the sum of its proper divisors (464247048).

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

199304952 is a wasteful number, since it uses less digits than its factorization.

199304952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 199304952 is about 14117.5405790102. The cubic root of 199304952 is about 584.1253171365.

The spelling of 199304952 in words is "one hundred ninety-nine million, three hundred four thousand, nine hundred fifty-two".