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190114992 = 2433597459
BaseRepresentation
bin10110101010011…
…10110010110000
3111020201211202000
423111032302300
5342132134432
630510454000
74465644054
oct1325166260
9436654660
10190114992
1198351231
1253804300
1330505ba2
141b36bc64
1511a5557c
hexb54ecb0

190114992 has 80 divisors (see below), whose sum is σ = 555024000. Its totient is φ = 62289216.

The previous prime is 190114973. The next prime is 190114993. The reversal of 190114992 is 299411091.

190114992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1901149922 = 72287420366320128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (190114993) 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, 21759 + ... + 29217.

It is an arithmetic number, because the mean of its divisors is an integer number (6937800).

Almost surely, 2190114992 is an apocalyptic number.

190114992 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 190114992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277512000).

190114992 is an abundant number, since it is smaller than the sum of its proper divisors (364909008).

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

190114992 is a wasteful number, since it uses less digits than its factorization.

190114992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 190114992 is about 13788.2193194045. The cubic root of 190114992 is about 575.0056629562.

The spelling of 190114992 in words is "one hundred ninety million, one hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 4248 6372 7459 8496 12744 14918 22377 25488 29836 44754 59672 67131 89508 119344 134262 179016 201393 268524 358032 402786 440081 537048 805572 880162 1074096 1320243 1611144 1760324 2640486 3222288 3520648 3960729 5280972 7041296 7921458 10561944 11882187 15842916 21123888 23764374 31685832 47528748 63371664 95057496 190114992