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2250252125 = 53112374021
BaseRepresentation
bin1000011000100000…
…0001111101011101
312210211020122121022
42012020001331131
514102031032000
61011142413525
7106522553552
oct20610017535
95724218538
102250252125
11a55232800
125297312a5
1329b277744
14174bdca29
15d2846585
hex86201f5d

2250252125 has 48 divisors (see below), whose sum is σ = 3171041328. Its totient is φ = 1591920000.

The previous prime is 2250252031. The next prime is 2250252131. The reversal of 2250252125 is 5212520522.

It can be written as a sum of positive squares in 8 ways, for example, as 819218884 + 1431033241 = 28622^2 + 37829^2 .

It is a de Polignac number, because none of the positive numbers 2k-2250252125 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2250252094 and 2250252103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557615 + ... + 561635.

It is an arithmetic number, because the mean of its divisors is an integer number (66063361).

Almost surely, 22250252125 is an apocalyptic number.

2250252125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2250252125 is a deficient number, since it is larger than the sum of its proper divisors (920789203).

2250252125 is a wasteful number, since it uses less digits than its factorization.

2250252125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 2250252125 is about 47436.8224589295. The cubic root of 2250252125 is about 1310.4196400485.

Adding to 2250252125 its reverse (5212520522), we get a palindrome (7462772647).

The spelling of 2250252125 in words is "two billion, two hundred fifty million, two hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 5 11 25 37 55 121 125 185 275 407 605 925 1375 2035 3025 4021 4477 4625 10175 15125 20105 22385 44231 50875 100525 111925 148777 221155 486541 502625 559625 743885 1105775 1636547 2432705 3719425 5528875 8182735 12163525 18002017 18597125 40913675 60817625 90010085 204568375 450050425 2250252125