Search a number
-
+
2202090248 = 234723532
BaseRepresentation
bin1000001101000001…
…0011101100001000
312200110121202221002
42003100103230020
514002213341443
61002302234132
7105366313121
oct20320235410
95613552832
102202090248
11a30027aa6
12515585948
132912b3ba7
1416c663048
15cd4d12b8
hex83413b08

2202090248 has 36 divisors (see below), whose sum is σ = 4230622365. Its totient is φ = 1074565888.

The previous prime is 2202090227. The next prime is 2202090271. The reversal of 2202090248 is 8420902022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2182571524 + 19518724 = 46718^2 + 4418^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33182.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2202090248.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 6238040 + ... + 6238392.

Almost surely, 22202090248 is an apocalyptic number.

It is an amenable number.

2202090248 is a deficient number, since it is larger than the sum of its proper divisors (2028532117).

2202090248 is an frugal number, since it uses more digits than its factorization.

2202090248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2202090248 is about 46926.4344266640. The cubic root of 2202090248 is about 1301.0032192977.

Multiplying 2202090248 by its product of nonzero digits (4608), we get a square (10147231862784 = 31854722).

The spelling of 2202090248 in words is "two billion, two hundred two million, ninety thousand, two hundred forty-eight".

Divisors: 1 2 4 8 47 94 188 353 376 706 1412 2209 2824 4418 8836 16591 17672 33182 66364 124609 132728 249218 498436 779777 996872 1559554 3119108 5856623 6238216 11713246 23426492 46852984 275261281 550522562 1101045124 2202090248