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199422720 = 2832572473
BaseRepresentation
bin10111110001011…
…11001100000000
3111220020201112200
423320233030000
5402023011340
631442153200
74641031230
oct1370571400
9456221480
10199422720
11a2629272
1256952800
1332414613
141c6b1cc0
1512793330
hexbe2f300

199422720 has 216 divisors, whose sum is σ = 788869536. Its totient is φ = 45563904.

The previous prime is 199422697. The next prime is 199422731. The reversal of 199422720 is 27224991.

199422720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 79404 + ... + 81876.

Almost surely, 2199422720 is an apocalyptic number.

199422720 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 199422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394434768).

199422720 is an abundant number, since it is smaller than the sum of its proper divisors (589446816).

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

199422720 is a wasteful number, since it uses less digits than its factorization.

199422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 199422720 is about 14121.7109444996. The cubic root of 199422720 is about 584.2403464332.

The spelling of 199422720 in words is "one hundred ninety-nine million, four hundred twenty-two thousand, seven hundred twenty".