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22211324442 = 234373705593
BaseRepresentation
bin10100101011111001…
…011110101000011010
32010022221112012010000
4110223321132220122
5330442044340232
614112001433430
71414263066636
oct245371365032
963287465100
1022211324442
11946879388a
12437a63b876
13212c872938
141109c6ddc6
1589ee7327c
hex52be5ea1a

22211324442 has 40 divisors (see below), whose sum is σ = 51114963636. Its totient is φ = 7203670848.

The previous prime is 22211324441. The next prime is 22211324491. The reversal of 22211324442 is 24442311222.

It is a happy number.

22211324442 is a `hidden beast` number, since 2 + 2 + 211 + 3 + 2 + 4 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21916137681 + 295186761 = 148041^2 + 17181^2 .

It is a super-2 number, since 2×222113244422 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22211324441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1846803 + ... + 1858790.

Almost surely, 222211324442 is an apocalyptic number.

22211324442 is an abundant number, since it is smaller than the sum of its proper divisors (28903639194).

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

22211324442 is a wasteful number, since it uses less digits than its factorization.

22211324442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705644 (or 3705635 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 22211324442 its reverse (24442311222), we get a palindrome (46653635664).

The spelling of 22211324442 in words is "twenty-two billion, two hundred eleven million, three hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 5994 3705593 7411186 11116779 22233558 33350337 66700674 100051011 137106941 200102022 274213882 300153033 411320823 600306066 822641646 1233962469 2467924938 3701887407 7403774814 11105662221 22211324442