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2280774132 = 2233713239971
BaseRepresentation
bin1000011111110001…
…1101100111110100
312212221200022221000
42013330131213310
514132334233012
61014152523300
7110343155160
oct20774354764
95787608830
102280774132
11a7048a3aa
125379b0530
132a46a31c0
14178ca5ca0
15d5374ddc
hex87f1d9f4

2280774132 has 192 divisors, whose sum is σ = 7315660800. Its totient is φ = 598389120.

The previous prime is 2280774071. The next prime is 2280774143. The reversal of 2280774132 is 2314770822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2348407 + ... + 2349377.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 22280774132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280774132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657830400).

2280774132 is an abundant number, since it is smaller than the sum of its proper divisors (5034886668).

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

2280774132 is a wasteful number, since it uses less digits than its factorization.

2280774132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2280774132 is about 47757.4510626352. The cubic root of 2280774132 is about 1316.3178164911.

The spelling of 2280774132 in words is "two billion, two hundred eighty million, seven hundred seventy-four thousand, one hundred thirty-two".