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2293295040 = 263252389389
BaseRepresentation
bin1000100010110000…
…1110011111000000
312220211020110101100
42020230032133000
514144040420130
61015321134400
7110554454241
oct21054163700
95824213340
102293295040
11a77561563
1254002a400
132a716831a
1417a804cc8
15d64e9c60
hex88b0e7c0

2293295040 has 336 divisors, whose sum is σ = 8344814400. Its totient is φ = 576897024.

The previous prime is 2293294999. The next prime is 2293295047. The reversal of 2293295040 is 405923922.

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 = 2293294986 and 2293295004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293295047) by changing a digit.

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, 5895166 + ... + 5895554.

Almost surely, 22293295040 is an apocalyptic number.

2293295040 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 2293295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172407200).

2293295040 is an abundant number, since it is smaller than the sum of its proper divisors (6051519360).

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

2293295040 is a wasteful number, since it uses less digits than its factorization.

2293295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2293295040 is about 47888.3601723843. The cubic root of 2293295040 is about 1318.7221793881.

The spelling of 2293295040 in words is "two billion, two hundred ninety-three million, two hundred ninety-five thousand, forty".