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122242248 = 233213032
BaseRepresentation
bin1110100100101…
…00010011001000
322112000112211200
413102110103020
5222243222443
620044024200
73013020252
oct722242310
9275015750
10122242248
1163003457
1234b32060
131c4306bb
1412340cd2
15aae9dd3
hex74944c8

122242248 has 36 divisors (see below), whose sum is σ = 331327035. Its totient is φ = 40716144.

The previous prime is 122242193. The next prime is 122242259. The reversal of 122242248 is 842242221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 61121124 + 61121124 = 7818^2 + 7818^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7818.

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

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 8 ways as a sum of consecutive naturals, for example, 93165 + ... + 94467.

Almost surely, 2122242248 is an apocalyptic number.

122242248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122242248 is an abundant number, since it is smaller than the sum of its proper divisors (209084787).

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

122242248 is an equidigital number, since it uses as much as digits as its factorization.

122242248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 1308 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 122242248 is about 11056.3216306329. The cubic root of 122242248 is about 496.2956202522.

Subtracting from 122242248 its sum of digits (27), we obtain a palindrome (122242221).

Adding to 122242248 its reverse (842242221), we get a palindrome (964484469).

The spelling of 122242248 in words is "one hundred twenty-two million, two hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1303 2606 3909 5212 7818 10424 11727 15636 23454 31272 46908 93816 1697809 3395618 5093427 6791236 10186854 13582472 15280281 20373708 30560562 40747416 61121124 122242248