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2260604160 = 28335149439
BaseRepresentation
bin1000011010111110…
…0001010100000000
312211112201120221000
42012233201110000
514112203313120
61012152332000
7110006550453
oct20657412400
95745646830
102260604160
11a60063401
125310a4000
132a04605c9
1417633549a
15d36dd990
hex86be1500

2260604160 has 288 divisors, whose sum is σ = 8094240000. Its totient is φ = 597417984.

The previous prime is 2260604153. The next prime is 2260604161. The reversal of 2260604160 is 614060622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×22606041602 = 10220662336418611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260604161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5149221 + ... + 5149659.

It is an arithmetic number, because the mean of its divisors is an integer number (28105000).

Almost surely, 22260604160 is an apocalyptic number.

2260604160 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 2260604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047120000).

2260604160 is an abundant number, since it is smaller than the sum of its proper divisors (5833635840).

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

2260604160 is a wasteful number, since it uses less digits than its factorization.

2260604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2260604160 is about 47545.8111719634. The cubic root of 2260604160 is about 1312.4260464454.

Adding to 2260604160 its reverse (614060622), we get a palindrome (2874664782).

The spelling of 2260604160 in words is "two billion, two hundred sixty million, six hundred four thousand, one hundred sixty".