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2212113000 = 23353191972
BaseRepresentation
bin1000001111011010…
…0010101001101000
312201011110222120010
42003312202221220
514012300104000
61003301131520
7105550436016
oct20366425150
95634428503
102212113000
11a35753269
125189b9ba0
132933b2c06
1416db118b6
15ce310d50
hex83da2a68

2212113000 has 192 divisors, whose sum is σ = 7302110400. Its totient is φ = 556012800.

The previous prime is 2212112999. The next prime is 2212113023. The reversal of 2212113000 is 3112122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11228902 + ... + 11229098.

It is an arithmetic number, because the mean of its divisors is an integer number (38031825).

Almost surely, 22212113000 is an apocalyptic number.

2212113000 is a gapful number since it is divisible by the number (20) 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 2212113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651055200).

2212113000 is an abundant number, since it is smaller than the sum of its proper divisors (5089997400).

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

2212113000 is a wasteful number, since it uses less digits than its factorization.

2212113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2212113000 is about 47033.1053620745. The cubic root of 2212113000 is about 1302.9740587957.

Adding to 2212113000 its reverse (3112122), we get a palindrome (2215225122).

The spelling of 2212113000 in words is "two billion, two hundred twelve million, one hundred thirteen thousand".