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199331928 = 233711393
BaseRepresentation
bin10111110000110…
…01000001011000
3111220002010000000
423320121001120
5402012110203
631440213000
74640202435
oct1370310130
9456063000
10199331928
11a2577034
125690a160
13323b21b3
141c68ab8c
15127764a3
hexbe19058

199331928 has 64 divisors (see below), whose sum is σ = 560584800. Its totient is φ = 66438144.

The previous prime is 199331927. The next prime is 199331941. The reversal of 199331928 is 829133991.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199331921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11800 + ... + 23192.

Almost surely, 2199331928 is an apocalyptic number.

199331928 is a gapful number since it is divisible by the number (18) 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 199331928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280292400).

199331928 is an abundant number, since it is smaller than the sum of its proper divisors (361252872).

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

199331928 is an equidigital number, since it uses as much as digits as its factorization.

199331928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11420 (or 11398 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 199331928 is about 14118.4959538897. The cubic root of 199331928 is about 584.1516698079.

The spelling of 199331928 in words is "one hundred ninety-nine million, three hundred thirty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 11393 17496 22786 34179 45572 68358 91144 102537 136716 205074 273432 307611 410148 615222 820296 922833 1230444 1845666 2460888 2768499 3691332 5536998 7382664 8305497 11073996 16610994 22147992 24916491 33221988 49832982 66443976 99665964 199331928