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2250078208 = 2117316183
BaseRepresentation
bin1000011000011101…
…0111100000000000
312210210220211000221
42012013113200000
514102010000313
61011134552424
7106521230530
oct20607274000
95723824027
102250078208
11a55124074
12529668714
1329b216531
14174b954c0
15d280ec8d
hex861d7800

2250078208 has 192 divisors, whose sum is σ = 5459650560. Its totient is φ = 906854400.

The previous prime is 2250078203. The next prime is 2250078223. The reversal of 2250078208 is 8028700522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250078203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27109335 + ... + 27109417.

It is an arithmetic number, because the mean of its divisors is an integer number (28435680).

Almost surely, 22250078208 is an apocalyptic number.

2250078208 is a gapful number since it is divisible by the number (28) 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 2250078208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729825280).

2250078208 is an abundant number, since it is smaller than the sum of its proper divisors (3209572352).

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

2250078208 is an equidigital number, since it uses as much as digits as its factorization.

2250078208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 2250078208 is about 47434.9892800662. The cubic root of 2250078208 is about 1310.3858793688.

The spelling of 2250078208 in words is "two billion, two hundred fifty million, seventy-eight thousand, two hundred eight".