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2292480000 = 2113254199
BaseRepresentation
bin1000100010100100…
…0111100000000000
312220202201001100200
42020221013200000
514143333330000
61015251445200
7110544521106
oct21051074000
95822631320
102292480000
11a77055178
1253b8b6800
132a6c41355
1417a671c76
15d63d8500
hex88a47800

2292480000 has 360 divisors, whose sum is σ = 8315307000. Its totient is φ = 608256000.

The previous prime is 2292479999. The next prime is 2292480011. The reversal of 2292480000 is 842922.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11519901 + ... + 11520099.

It is an arithmetic number, because the mean of its divisors is an integer number (23098075).

Almost surely, 22292480000 is an apocalyptic number.

2292480000 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 2292480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157653500).

2292480000 is an abundant number, since it is smaller than the sum of its proper divisors (6022827000).

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

2292480000 is an equidigital number, since it uses as much as digits as its factorization.

2292480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2292480000 is about 47879.8496238240. The cubic root of 2292480000 is about 1318.5659356920.

The spelling of 2292480000 in words is "two billion, two hundred ninety-two million, four hundred eighty thousand".