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190228896 = 2532111331149
BaseRepresentation
bin10110101011010…
…10100110100000
3111020221121222200
423111222212200
5342144311041
630513133200
74466630124
oct1325524640
9436847880
10190228896
1198419870
125385a200
13305459a0
141b39b584
1511a791b6
hexb56a9a0

190228896 has 288 divisors, whose sum is σ = 660441600. Its totient is φ = 51148800.

The previous prime is 190228891. The next prime is 190228937. The reversal of 190228896 is 698822091.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (190228891) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1276630 + ... + 1276778.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2190228896 is an apocalyptic number.

190228896 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 190228896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

190228896 is an abundant number, since it is smaller than the sum of its proper divisors (470212704).

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

190228896 is a wasteful number, since it uses less digits than its factorization.

190228896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 190228896 is about 13792.3491835148. The cubic root of 190228896 is about 575.1204748192.

The spelling of 190228896 in words is "one hundred ninety million, two hundred twenty-eight thousand, eight hundred ninety-six".