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122242424 = 23232931739
BaseRepresentation
bin1110100100101…
…00010101111000
322112000120002012
413102110111320
5222243224144
620044025052
73013020623
oct722242570
9275016065
10122242424
11630035a7
1234b32188
131c4307c5
1412340dba
15aae9e9e
hex7494578

122242424 has 64 divisors (see below), whose sum is σ = 255744000. Its totient is φ = 54552960.

The previous prime is 122242423. The next prime is 122242429. The reversal of 122242424 is 424242221.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122242424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122242423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 165047 + ... + 165785.

It is an arithmetic number, because the mean of its divisors is an integer number (3996000).

Almost surely, 2122242424 is an apocalyptic number.

It is an amenable number.

122242424 is an abundant number, since it is smaller than the sum of its proper divisors (133501576).

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

122242424 is a wasteful number, since it uses less digits than its factorization.

122242424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its digits is 2048, while the sum is 23.

The square root of 122242424 is about 11056.3295898775. The cubic root of 122242424 is about 496.2958584349.

Adding to 122242424 its reverse (424242221), we get a palindrome (546484645).

The spelling of 122242424 in words is "one hundred twenty-two million, two hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 23 29 31 46 58 62 92 116 124 184 232 248 667 713 739 899 1334 1426 1478 1798 2668 2852 2956 3596 5336 5704 5912 7192 16997 20677 21431 22909 33994 41354 42862 45818 67988 82708 85724 91636 135976 165416 171448 183272 492913 526907 664361 985826 1053814 1328722 1971652 2107628 2657444 3943304 4215256 5314888 15280303 30560606 61121212 122242424