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190149216 = 25317374767
BaseRepresentation
bin10110101010101…
…11001001100000
3111020210120200120
423111113021200
5342134233331
630511320240
74466145615
oct1325271140
9436716616
10190149216
1198374a14
1253820080
133051863a
141b37a50c
1511a60796
hexb557260

190149216 has 192 divisors, whose sum is σ = 562609152. Its totient is φ = 55959552.

The previous prime is 190149187. The next prime is 190149229. The reversal of 190149216 is 612941091.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2838015 + ... + 2838081.

It is an arithmetic number, because the mean of its divisors is an integer number (2930256).

Almost surely, 2190149216 is an apocalyptic number.

190149216 is a gapful number since it is divisible by the number (16) 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 190149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281304576).

190149216 is an abundant number, since it is smaller than the sum of its proper divisors (372459936).

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

190149216 is a wasteful number, since it uses less digits than its factorization.

190149216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 190149216 is about 13789.4603230148. The cubic root of 190149216 is about 575.0401645542.

The spelling of 190149216 in words is "one hundred ninety million, one hundred forty-nine thousand, two hundred sixteen".