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2238075000 = 2332557329
BaseRepresentation
bin1000010101100110…
…0101000001111000
312202222022222201200
42011121211001320
514040421400000
61010025414200
7106314216000
oct20531450170
95688288650
102238075000
11a49375967
1252563a360
132988a2c45
1417334d000
15d173d500
hex85665078

2238075000 has 576 divisors, whose sum is σ = 9140040000. Its totient is φ = 493920000.

The previous prime is 2238074987. The next prime is 2238075017. The reversal of 2238075000 is 5708322.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 77174986 + ... + 77175014.

It is an arithmetic number, because the mean of its divisors is an integer number (15868125).

Almost surely, 22238075000 is an apocalyptic number.

2238075000 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 2238075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020000).

2238075000 is an abundant number, since it is smaller than the sum of its proper divisors (6901965000).

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

2238075000 is an equidigital number, since it uses as much as digits as its factorization.

2238075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2238075000 is about 47308.2973694890. The cubic root of 2238075000 is about 1308.0516069754.

The spelling of 2238075000 in words is "two billion, two hundred thirty-eight million, seventy-five thousand".