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2250253120 = 2657032041
BaseRepresentation
bin1000011000100000…
…0010001101000000
312210211020200222011
42012020002031000
514102031044440
61011142422304
7106522556503
oct20610021500
95724220864
102250253120
11a55233525
12529731994
1329b27802b
14174bdd13a
15d28469ea
hex86202340

2250253120 has 28 divisors (see below), whose sum is σ = 5358416004. Its totient is φ = 900101120.

The previous prime is 2250253099. The next prime is 2250253123. The reversal of 2250253120 is 213520522.

It can be written as a sum of positive squares in 2 ways, for example, as 1422194944 + 828058176 = 37712^2 + 28776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2250253091 and 2250253100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250253123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3515701 + ... + 3516340.

Almost surely, 22250253120 is an apocalyptic number.

2250253120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250253120 is an abundant number, since it is smaller than the sum of its proper divisors (3108162884).

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

2250253120 is an equidigital number, since it uses as much as digits as its factorization.

2250253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032058 (or 7032048 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2250253120 is about 47436.8329465617. The cubic root of 2250253120 is about 1310.4198331924.

Adding to 2250253120 its reverse (213520522), we get a palindrome (2463773642).

The spelling of 2250253120 in words is "two billion, two hundred fifty million, two hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7032041 14064082 28128164 35160205 56256328 70320410 112512656 140640820 225025312 281281640 450050624 562563280 1125126560 2250253120