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2315226240 = 2735514887
BaseRepresentation
bin1000100111111111…
…1000110010000000
312222100111200100000
42021333320302000
514220144214430
61021423200000
7111242045505
oct21177706200
95870450300
102315226240
11a88980818
12547446000
132ab876772
1417d6b34ac
15d83cce60
hex89ff8c80

2315226240 has 192 divisors, whose sum is σ = 8291424960. Its totient is φ = 617352192.

The previous prime is 2315226239. The next prime is 2315226283. The reversal of 2315226240 is 426225132.

It is a happy number.

2315226240 is a `hidden beast` number, since 2 + 3 + 15 + 22 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 148077 + ... + 162963.

It is an arithmetic number, because the mean of its divisors is an integer number (43184505).

Almost surely, 22315226240 is an apocalyptic number.

2315226240 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 2315226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145712480).

2315226240 is an abundant number, since it is smaller than the sum of its proper divisors (5976198720).

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

2315226240 is an equidigital number, since it uses as much as digits as its factorization.

2315226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14897 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2315226240 is about 48116.7978984471. The cubic root of 2315226240 is about 1322.9125769434.

The spelling of 2315226240 in words is "two billion, three hundred fifteen million, two hundred twenty-six thousand, two hundred forty".