Search a number
-
+
22742235 = 3352937157
BaseRepresentation
bin101011011000…
…0010011011011
31120210102111000
41112300103123
521310222420
62131240043
7364206615
oct126602333
946712430
1022742235
111192363a
127749023
134933659
14303ddb5
151ee3690
hex15b04db

22742235 has 64 divisors (see below), whose sum is σ = 43228800. Its totient is φ = 11321856.

The previous prime is 22742197. The next prime is 22742273. The reversal of 22742235 is 53224722.

It is an interprime number because it is at equal distance from previous prime (22742197) and next prime (22742273).

It is not a de Polignac number, because 22742235 - 212 = 22738139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22742199 and 22742208.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 144777 + ... + 144933.

It is an arithmetic number, because the mean of its divisors is an integer number (675450).

Almost surely, 222742235 is an apocalyptic number.

22742235 is a deficient number, since it is larger than the sum of its proper divisors (20486565).

22742235 is a wasteful number, since it uses less digits than its factorization.

22742235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 22742235 is about 4768.8819444394. The cubic root of 22742235 is about 283.3203138962.

Adding to 22742235 its reverse (53224722), we get a palindrome (75966957).

The spelling of 22742235 in words is "twenty-two million, seven hundred forty-two thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 29 37 45 87 111 135 145 157 185 261 333 435 471 555 783 785 999 1073 1305 1413 1665 2355 3219 3915 4239 4553 4995 5365 5809 7065 9657 13659 16095 17427 21195 22765 28971 29045 40977 48285 52281 68295 87135 122931 144855 156843 168461 204885 261405 505383 614655 784215 842305 1516149 2526915 4548447 7580745 22742235