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2275286640 = 24351129113263
BaseRepresentation
bin1000011110011110…
…0001111001110000
312212120100112111120
42013213201321300
514124433133030
61013435142240
7110245421514
oct20747417160
95776315446
102275286640
11a68381590
12535ba4980
132a3501573
14178278144
15d4b3e010
hex879e1e70

2275286640 has 320 divisors, whose sum is σ = 8060912640. Its totient is φ = 525844480.

The previous prime is 2275286609. The next prime is 2275286653. The reversal of 2275286640 is 466825722.

2275286640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2275286592 and 2275286601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8651149 + ... + 8651411.

It is an arithmetic number, because the mean of its divisors is an integer number (25190352).

Almost surely, 22275286640 is an apocalyptic number.

2275286640 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 2275286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030456320).

2275286640 is an abundant number, since it is smaller than the sum of its proper divisors (5785626000).

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

2275286640 is a wasteful number, since it uses less digits than its factorization.

2275286640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2275286640 is about 47699.9647798612. The cubic root of 2275286640 is about 1315.2612915505.

The spelling of 2275286640 in words is "two billion, two hundred seventy-five million, two hundred eighty-six thousand, six hundred forty".