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22420242 = 2321395813
BaseRepresentation
bin101010110000…
…1101100010010
31120012001210100
41111201230102
521214421432
62120313230
7361366065
oct125415422
946161710
1022420242
1111723729
127612816
13484cc20
142d988dc
151e7d07c
hex1561b12

22420242 has 24 divisors (see below), whose sum is σ = 52314444. Its totient is φ = 6898464.

The previous prime is 22420241. The next prime is 22420249. The reversal of 22420242 is 24202422.

22420242 is a `hidden beast` number, since 2 + 2 + 420 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17715681 + 4704561 = 4209^2 + 2169^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22420241) 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 11 ways as a sum of consecutive naturals, for example, 47673 + ... + 48140.

Almost surely, 222420242 is an apocalyptic number.

22420242 is an abundant number, since it is smaller than the sum of its proper divisors (29894202).

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

22420242 is a wasteful number, since it uses less digits than its factorization.

22420242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95834 (or 95831 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 22420242 is about 4735.0017951422. The cubic root of 22420242 is about 281.9768352784.

Adding to 22420242 its reverse (24202422), we get a palindrome (46622664).

It can be divided in two parts, 2 and 2420242, that multiplied together give a palindrome (4840484).

The spelling of 22420242 in words is "twenty-two million, four hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 95813 191626 287439 574878 862317 1245569 1724634 2491138 3736707 7473414 11210121 22420242