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2279047680 = 293257131087
BaseRepresentation
bin1000011111010111…
…1000001000000000
312212211102121200100
42013311320020000
514131414011210
61014051522400
7110322404610
oct20765701000
95784377610
102279047680
11a6a510288
125372b9400
132a421a430
14178976a40
15d51335c0
hex87d78200

2279047680 has 480 divisors, whose sum is σ = 9723377664. Its totient is φ = 480411648.

The previous prime is 2279047669. The next prime is 2279047703. The reversal of 2279047680 is 867409722.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096097 + ... + 2097183.

Almost surely, 22279047680 is an apocalyptic number.

2279047680 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 2279047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861688832).

2279047680 is an abundant number, since it is smaller than the sum of its proper divisors (7444329984).

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

2279047680 is a wasteful number, since it uses less digits than its factorization.

2279047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2279047680 is about 47739.3724298927. The cubic root of 2279047680 is about 1315.9855998769.

The spelling of 2279047680 in words is "two billion, two hundred seventy-nine million, forty-seven thousand, six hundred eighty".