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2213020320 = 253572372543
BaseRepresentation
bin1000001111101000…
…0000001010100000
312201020012002011120
42003322000022200
514013013122240
61003332412240
7105561235200
oct20372001240
95636162146
102213020320
11a36212a15
12519177080
1329363cba4
1416dcaa400
15ce43ead0
hex83e802a0

2213020320 has 288 divisors, whose sum is σ = 8331579648. Its totient is φ = 491968512.

The previous prime is 2213020301. The next prime is 2213020349. The reversal of 2213020320 is 230203122.

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 2213020320.

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, 868969 + ... + 871511.

It is an arithmetic number, because the mean of its divisors is an integer number (28929096).

Almost surely, 22213020320 is an apocalyptic number.

2213020320 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 2213020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165789824).

2213020320 is an abundant number, since it is smaller than the sum of its proper divisors (6118559328).

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

2213020320 is a wasteful number, since it uses less digits than its factorization.

2213020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2213020320 is about 47042.7499196210. The cubic root of 2213020320 is about 1303.1521770063.

Adding to 2213020320 its reverse (230203122), we get a palindrome (2443223442).

The spelling of 2213020320 in words is "two billion, two hundred thirteen million, twenty thousand, three hundred twenty".