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2260603080 = 233453171317
BaseRepresentation
bin1000011010111110…
…0001000011001000
312211112201112110000
42012233201003020
514112203244310
61012152323000
7110006544351
oct20657410310
95745645400
102260603080
11a6006260a
125310a3460
132a045cc78
14176334d28
15d36dd4c0
hex86be10c8

2260603080 has 320 divisors, whose sum is σ = 7978798080. Its totient is φ = 573350400.

The previous prime is 2260603073. The next prime is 2260603141. The reversal of 2260603080 is 803060622.

2260603080 is a `hidden beast` number, since 22 + 606 + 0 + 30 + 8 + 0 = 666.

It is a super-2 number, since 2×22606030802 = 10220652570610972800, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7131082 + ... + 7131398.

It is an arithmetic number, because the mean of its divisors is an integer number (24933744).

Almost surely, 22260603080 is an apocalyptic number.

2260603080 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 2260603080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989399040).

2260603080 is an abundant number, since it is smaller than the sum of its proper divisors (5718195000).

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

2260603080 is a wasteful number, since it uses less digits than its factorization.

2260603080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

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

The square root of 2260603080 is about 47545.7998144947. The cubic root of 2260603080 is about 1312.4258374422.

The spelling of 2260603080 in words is "two billion, two hundred sixty million, six hundred three thousand, eighty".