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2285355240 = 2332576114867
BaseRepresentation
bin1000100000110111…
…1100000011101000
312220021022002000200
42020031330003220
514140022331430
61014435032200
7110430125160
oct21015740350
95807262020
102285355240
11a73029243
1253943b660
132a561840c
141797395a0
15d597c460
hex8837c0e8

2285355240 has 192 divisors, whose sum is σ = 8628197760. Its totient is φ = 513768960.

The previous prime is 2285355239. The next prime is 2285355323. The reversal of 2285355240 is 425535822.

It is a happy number.

2285355240 is a `hidden beast` number, since 2 + 285 + 355 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2285355195 and 2285355204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146287 + ... + 161153.

It is an arithmetic number, because the mean of its divisors is an integer number (44938530).

Almost surely, 22285355240 is an apocalyptic number.

2285355240 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 2285355240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314098880).

2285355240 is an abundant number, since it is smaller than the sum of its proper divisors (6342842520).

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

2285355240 is a wasteful number, since it uses less digits than its factorization.

2285355240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14952 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2285355240 is about 47805.3892359428. The cubic root of 2285355240 is about 1317.1985351802.

The spelling of 2285355240 in words is "two billion, two hundred eighty-five million, three hundred fifty-five thousand, two hundred forty".