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191210000 = 245419121
BaseRepresentation
bin10110110010110…
…10001000010000
3111022210110210212
423121122020100
5342422210000
630550143252
74511154362
oct1331321020
9438713725
10191210000
1198a299a3
1254051b28
13307ca417
141b574d32
1511bbec35
hexb65a210

191210000 has 50 divisors (see below), whose sum is σ = 462962742. Its totient is φ = 76480000.

The previous prime is 191209981. The next prime is 191210023. The reversal of 191210000 is 12191.

It can be written as a sum of positive squares in 5 ways, for example, as 38539264 + 152670736 = 6208^2 + 12356^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×1912100002 = 73122528200000000, which contains 22 as substring.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 440 + ... + 19560.

Almost surely, 2191210000 is an apocalyptic number.

191210000 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 191210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231481371).

191210000 is an abundant number, since it is smaller than the sum of its proper divisors (271752742).

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

191210000 is an equidigital number, since it uses as much as digits as its factorization.

191210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19149 (or 19128 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 191210000 is about 13827.8704072608. The cubic root of 191210000 is about 576.1075062966.

Adding to 191210000 its reverse (12191), we get a palindrome (191222191).

The spelling of 191210000 in words is "one hundred ninety-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 19121 38242 76484 95605 152968 191210 305936 382420 478025 764840 956050 1529680 1912100 2390125 3824200 4780250 7648400 9560500 11950625 19121000 23901250 38242000 47802500 95605000 191210000