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2285094240 = 253651113137
BaseRepresentation
bin1000100000110011…
…1100010101100000
312220020210211000000
42020030330111200
514134441003430
61014425300000
7110424660222
oct21014742540
95806724000
102285094240
11a72970140
12539334600
132a5556690
141796ac412
15d5929e60
hex8833c560

2285094240 has 672 divisors, whose sum is σ = 9578562336. Its totient is φ = 507617280.

The previous prime is 2285094209. The next prime is 2285094241. The reversal of 2285094240 is 424905822.

2285094240 is a `hidden beast` number, since 228 + 5 + 0 + 9 + 424 + 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 = 2285094195 and 2285094204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285094241) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16679452 + ... + 16679588.

It is an arithmetic number, because the mean of its divisors is an integer number (14253813).

Almost surely, 22285094240 is an apocalyptic number.

2285094240 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 2285094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789281168).

2285094240 is an abundant number, since it is smaller than the sum of its proper divisors (7293468096).

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

2285094240 is a wasteful number, since it uses less digits than its factorization.

2285094240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2285094240 is about 47802.6593402501. The cubic root of 2285094240 is about 1317.1483895253.

The spelling of 2285094240 in words is "two billion, two hundred eighty-five million, ninety-four thousand, two hundred forty".