Search a number
-
+
122822272 = 273972417
BaseRepresentation
bin1110101001000…
…01111010000000
322120010000111001
413110201322000
5222420303042
620104301344
73020654266
oct724417200
9276100431
10122822272
116336a211
1235171854
131c5a4701
1412452436
15abb1bb7
hex7521e80

122822272 has 32 divisors (see below), whose sum is σ = 245402820. Its totient is φ = 61231104.

The previous prime is 122822243. The next prime is 122822303. The reversal of 122822272 is 272228221.

It can be written as a sum of positive squares in 2 ways, for example, as 104366656 + 18455616 = 10216^2 + 4296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 122822272.

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 3 ways as a sum of consecutive naturals, for example, 49608 + ... + 52024.

Almost surely, 2122822272 is an apocalyptic number.

It is an amenable number.

122822272 is a deficient number, since it is larger than the sum of its proper divisors (122580548).

122822272 is an equidigital number, since it uses as much as digits as its factorization.

122822272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2816 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

The square root of 122822272 is about 11082.5210128382. The cubic root of 122822272 is about 497.0793353211.

The spelling of 122822272 in words is "one hundred twenty-two million, eight hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 397 794 1588 2417 3176 4834 6352 9668 12704 19336 25408 38672 50816 77344 154688 309376 959549 1919098 3838196 7676392 15352784 30705568 61411136 122822272