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199139472 = 24387271
BaseRepresentation
bin10111101111010…
…10000010010000
3111212201100000000
423313222002100
5401434430342
631432130000
74635441360
oct1367520220
9455640000
10199139472
11a2455484
1256836900
133234570c
141c63a9a0
151273944c
hexbdea090

199139472 has 180 divisors, whose sum is σ = 663834496. Its totient is φ = 56687040.

The previous prime is 199139467. The next prime is 199139489. The reversal of 199139472 is 274931991.

199139472 is a `hidden beast` number, since 199 + 1 + 394 + 72 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734697 + ... + 734967.

Almost surely, 2199139472 is an apocalyptic number.

199139472 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 199139472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331917248).

199139472 is an abundant number, since it is smaller than the sum of its proper divisors (464695024).

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

199139472 is an frugal number, since it uses more digits than its factorization.

199139472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 283 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 199139472 is about 14111.6785677679. The cubic root of 199139472 is about 583.9636087914.

The spelling of 199139472 in words is "one hundred ninety-nine million, one hundred thirty-nine thousand, four hundred seventy-two".