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190211100 = 22352837639
BaseRepresentation
bin10110101011001…
…10010000011100
3111020220201120120
423111212100130
5342143223400
630512514540
74466524212
oct1325462034
9436821516
10190211100
1198407462
125384ba50
133053a861
141b394cb2
1511a73ca0
hexb56641c

190211100 has 72 divisors (see below), whose sum is σ = 557047680. Its totient is φ = 50105280.

The previous prime is 190211093. The next prime is 190211111. The reversal of 190211100 is 1112091.

190211100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 190211100.

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 23 ways as a sum of consecutive naturals, for example, 21081 + ... + 28719.

Almost surely, 2190211100 is an apocalyptic number.

190211100 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 190211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278523840).

190211100 is an abundant number, since it is smaller than the sum of its proper divisors (366836580).

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

190211100 is a wasteful number, since it uses less digits than its factorization.

190211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 190211100 is about 13791.7040281468. The cubic root of 190211100 is about 575.1025399990.

Adding to 190211100 its reverse (1112091), we get a palindrome (191323191).

The spelling of 190211100 in words is "one hundred ninety million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 7639 8300 12450 15278 22917 24900 30556 38195 45834 76390 91668 114585 152780 190975 229170 381950 458340 572925 634037 763900 1145850 1268074 1902111 2291700 2536148 3170185 3804222 6340370 7608444 9510555 12680740 15850925 19021110 31701850 38042220 47552775 63403700 95105550 190211100