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2213310000 = 243541119353
BaseRepresentation
bin1000001111101100…
…0110111000110000
312201020201210112110
42003323012320300
514013101410000
61003342525320
7105563552556
oct20373067060
95636653473
102213310000
11a363a0620
12519296840
132937119b5
1416dd43bd6
15ce49a850
hex83ec6e30

2213310000 has 400 divisors, whose sum is σ = 8227866240. Its totient is φ = 506880000.

The previous prime is 2213309983. The next prime is 2213310017. The reversal of 2213310000 is 133122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2213309983) and next prime (2213310017).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×22133100002 = 9797482312200000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6269824 + ... + 6270176.

Almost surely, 22213310000 is an apocalyptic number.

2213310000 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 2213310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113933120).

2213310000 is an abundant number, since it is smaller than the sum of its proper divisors (6014556240).

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

2213310000 is a wasteful number, since it uses less digits than its factorization.

2213310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2213310000 is about 47045.8287205146. The cubic root of 2213310000 is about 1303.2090345430.

Adding to 2213310000 its reverse (133122), we get a palindrome (2213443122).

It can be divided in two parts, 2213 and 310000, that added together give a palindrome (312213).

The spelling of 2213310000 in words is "two billion, two hundred thirteen million, three hundred ten thousand".