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2201613120 = 263257215601
BaseRepresentation
bin1000001100111001…
…1111001101000000
312200102201112102200
42003032133031000
514002103104440
61002244113200
7105362255100
oct20316371500
95612645380
102201613120
11a2a831583
12515395800
13291177975
1416c57b200
15cd439c30
hex8339f340

2201613120 has 252 divisors, whose sum is σ = 8809544484. Its totient is φ = 503193600.

The previous prime is 2201613083. The next prime is 2201613131. The reversal of 2201613120 is 213161022.

It can be written as a sum of positive squares in 2 ways, for example, as 1532252736 + 669360384 = 39144^2 + 25872^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×22016131202 = 9694200660312268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2201613093 and 2201613102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133320 + ... + 148920.

Almost surely, 22201613120 is an apocalyptic number.

2201613120 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 2201613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404772242).

2201613120 is an abundant number, since it is smaller than the sum of its proper divisors (6607931364).

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

2201613120 is a wasteful number, since it uses less digits than its factorization.

2201613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15638 (or 15618 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2201613120 is about 46921.3503641999. The cubic root of 2201613120 is about 1300.9092495036.

Adding to 2201613120 its reverse (213161022), we get a palindrome (2414774142).

The spelling of 2201613120 in words is "two billion, two hundred one million, six hundred thirteen thousand, one hundred twenty".