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22202124 = 2237534987
BaseRepresentation
bin101010010110…
…0011100001100
31112202222120220
41110230130030
521140431444
62111511340
7356500140
oct124543414
945688526
1022202124
111159486a
127528550
1347a4869
142d3d220
151e38619
hex152c70c

22202124 has 48 divisors (see below), whose sum is σ = 60334848. Its totient is φ = 6222528.

The previous prime is 22202111. The next prime is 22202137. The reversal of 22202124 is 42120222.

It is an interprime number because it is at equal distance from previous prime (22202111) and next prime (22202137).

It is a super-2 number, since 2×222021242 = 985868620222752, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1959 + ... + 6945.

It is an arithmetic number, because the mean of its divisors is an integer number (1256976).

Almost surely, 222202124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22202124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30167424).

22202124 is an abundant number, since it is smaller than the sum of its proper divisors (38132724).

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

22202124 is a wasteful number, since it uses less digits than its factorization.

22202124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22202124 is about 4711.9129873121. The cubic root of 22202124 is about 281.0594387166.

Adding to 22202124 its reverse (42120222), we get a palindrome (64322346).

The spelling of 22202124 in words is "twenty-two million, two hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 4987 9974 14961 19948 29922 34909 59844 69818 104727 139636 209454 264311 418908 528622 792933 1057244 1585866 1850177 3171732 3700354 5550531 7400708 11101062 22202124