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2250828329 = 101208110709
BaseRepresentation
bin1000011000101000…
…1110101000101001
312210212022221000012
42012022032220221
514102203001304
61011203021305
7106530503501
oct20612165051
95725287005
102250828329
11a55596702
1252996a835
1329b419aa9
14174d0ca01
15d290c16e
hex8628ea29

2250828329 has 8 divisors (see below), whose sum is σ = 2274418440. Its totient is φ = 2227264000.

The previous prime is 2250828317. The next prime is 2250828341. The reversal of 2250828329 is 9238280522.

It is an interprime number because it is at equal distance from previous prime (2250828317) and next prime (2250828341).

It can be written as a sum of positive squares in 4 ways, for example, as 1425817600 + 825010729 = 37760^2 + 28723^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2250828329 - 24 = 2250828313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2250828379) 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 7 ways as a sum of consecutive naturals, for example, 204827 + ... + 215535.

It is an arithmetic number, because the mean of its divisors is an integer number (284302305).

Almost surely, 22250828329 is an apocalyptic number.

It is an amenable number.

2250828329 is a deficient number, since it is larger than the sum of its proper divisors (23590111).

2250828329 is a wasteful number, since it uses less digits than its factorization.

2250828329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12891.

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 2250828329 is about 47442.8954533764. The cubic root of 2250828329 is about 1310.5314800495.

The spelling of 2250828329 in words is "two billion, two hundred fifty million, eight hundred twenty-eight thousand, three hundred twenty-nine".

Divisors: 1 101 2081 10709 210181 1081609 22285429 2250828329