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2280632832 = 2932678389
BaseRepresentation
bin1000011111101111…
…1011001000000000
312212221102011002200
42013323323020000
514132320222312
61014145513200
7110342026212
oct20773731000
95787364080
102280632832
11a703a3225
12537942800
132a4653aaa
14178c6a5b2
15d53480dc
hex87efb200

2280632832 has 240 divisors, whose sum is σ = 6836749920. Its totient is φ = 731529216.

The previous prime is 2280632801. The next prime is 2280632881. The reversal of 2280632832 is 2382360822.

It is a super-2 number, since 2×22806328322 = 10402572228792680448, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25625044 + ... + 25625132.

It is an arithmetic number, because the mean of its divisors is an integer number (28486458).

Almost surely, 22280632832 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 2280632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418374960).

2280632832 is an abundant number, since it is smaller than the sum of its proper divisors (4556117088).

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

2280632832 is an equidigital number, since it uses as much as digits as its factorization.

2280632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2280632832 is about 47755.9716894128. The cubic root of 2280632832 is about 1316.2906328044.

The spelling of 2280632832 in words is "two billion, two hundred eighty million, six hundred thirty-two thousand, eight hundred thirty-two".