Search a number
-
+
190801116 = 2233111979107
BaseRepresentation
bin10110101111101…
…10010011011100
3111022000200221000
423113312103130
5342321113431
630533310300
74504532322
oct1327662334
9438020830
10190801116
119877a780
1253a95390
13306b628c
141b4a9d12
1511b3d9e6
hexb5f64dc

190801116 has 192 divisors, whose sum is σ = 580608000. Its totient is φ = 53576640.

The previous prime is 190801099. The next prime is 190801129. The reversal of 190801116 is 611108091.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 190801116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1783135 + ... + 1783241.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2190801116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190801116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

190801116 is an abundant number, since it is smaller than the sum of its proper divisors (389806884).

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

190801116 is a wasteful number, since it uses less digits than its factorization.

190801116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 190801116 is about 13813.0777164251. The cubic root of 190801116 is about 575.6965632679.

The spelling of 190801116 in words is "one hundred ninety million, eight hundred one thousand, one hundred sixteen".