Search a number
-
+
22942257 = 3132371223
BaseRepresentation
bin101011110000…
…1001000110001
31121011120212020
41113201020301
521333123012
62135422053
7366002022
oct127411061
947146766
1022942257
1111a4a948
127824929
1349a3700
143092c49
152032a8c
hex15e1231

22942257 has 24 divisors (see below), whose sum is σ = 34046784. Its totient is φ = 13725504.

The previous prime is 22942243. The next prime is 22942259. The reversal of 22942257 is 75224922.

It is not a de Polignac number, because 22942257 - 212 = 22938161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22942259) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18148 + ... + 19370.

It is an arithmetic number, because the mean of its divisors is an integer number (1418616).

Almost surely, 222942257 is an apocalyptic number.

It is an amenable number.

22942257 is a deficient number, since it is larger than the sum of its proper divisors (11104527).

22942257 is a wasteful number, since it uses less digits than its factorization.

22942257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1276 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 22942257 is about 4789.8076161783. The cubic root of 22942257 is about 284.1485080926.

It can be divided in two parts, 229 and 42257, that added together give a triangular number (42486 = T291).

The spelling of 22942257 in words is "twenty-two million, nine hundred forty-two thousand, two hundred fifty-seven".

Divisors: 1 3 13 37 39 111 169 481 507 1223 1443 3669 6253 15899 18759 45251 47697 135753 206687 588263 620061 1764789 7647419 22942257