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190992000 = 2735323173
BaseRepresentation
bin10110110001001…
…00111010000000
3111022101101202210
423120210322000
5342343221000
630541342120
74506255663
oct1330447200
9438341683
10190992000
11988a0131
1253b67940
1330752124
141b5196da
1511b7a350
hexb624e80

190992000 has 256 divisors, whose sum is σ = 664485120. Its totient is φ = 48435200.

The previous prime is 190991993. The next prime is 190992001. The reversal of 190992000 is 299091.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (190992001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103914 + ... + 1104086.

It is an arithmetic number, because the mean of its divisors is an integer number (2595645).

Almost surely, 2190992000 is an apocalyptic number.

190992000 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 190992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332242560).

190992000 is an abundant number, since it is smaller than the sum of its proper divisors (473493120).

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

190992000 is a wasteful number, since it uses less digits than its factorization.

190992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 190992000 is about 13819.9855282124. The cubic root of 190992000 is about 575.8884814969. Note that the first 3 decimals are identical.

The spelling of 190992000 in words is "one hundred ninety million, nine hundred ninety-two thousand".