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2275447680 = 273351111971
BaseRepresentation
bin1000011110100000…
…1001001110000000
312212120122201102000
42013220021032000
514130003311210
61013442424000
7110246662152
oct20750111600
95776581360
102275447680
11a68481580
12536062000
132a355995c
141782baad2
15d4b71ac0
hex87a09380

2275447680 has 256 divisors, whose sum is σ = 8792236800. Its totient is φ = 551577600.

The previous prime is 2275447679. The next prime is 2275447717. The reversal of 2275447680 is 867445722.

It is a happy number.

2275447680 is a `hidden beast` number, since 2 + 27 + 544 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184095 + ... + 196065.

It is an arithmetic number, because the mean of its divisors is an integer number (34344675).

Almost surely, 22275447680 is an apocalyptic number.

2275447680 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 2275447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396118400).

2275447680 is an abundant number, since it is smaller than the sum of its proper divisors (6516789120).

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

2275447680 is a wasteful number, since it uses less digits than its factorization.

2275447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010 (or 11992 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2275447680 is about 47701.6528015540. The cubic root of 2275447680 is about 1315.2923212938.

The spelling of 2275447680 in words is "two billion, two hundred seventy-five million, four hundred forty-seven thousand, six hundred eighty".