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122442024 = 23317734111
BaseRepresentation
bin1110100110001…
…01000100101000
322112101200212210
413103011010220
5222321121044
620052205120
73014511555
oct723050450
9275350783
10122442024
116312a561
12350097a0
131c4a0603
1412393a2c
15ab391b9
hex74c5128

122442024 has 64 divisors (see below), whose sum is σ = 328631040. Its totient is φ = 37877760.

The previous prime is 122442013. The next prime is 122442037. The reversal of 122442024 is 420244221.

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, 27729 + ... + 31839.

It is an arithmetic number, because the mean of its divisors is an integer number (5134860).

Almost surely, 2122442024 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 122442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164315520).

122442024 is an abundant number, since it is smaller than the sum of its proper divisors (206189016).

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

122442024 is a wasteful number, since it uses less digits than its factorization.

122442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 122442024 is about 11065.3524119207. The cubic root of 122442024 is about 496.5658323192.

Adding to 122442024 its reverse (420244221), we get a palindrome (542686245).

The spelling of 122442024 in words is "one hundred twenty-two million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 73 102 136 146 204 219 292 408 438 584 876 1241 1752 2482 3723 4111 4964 7446 8222 9928 12333 14892 16444 24666 29784 32888 49332 69887 98664 139774 209661 279548 300103 419322 559096 600206 838644 900309 1200412 1677288 1800618 2400824 3601236 5101751 7202472 10203502 15305253 20407004 30610506 40814008 61221012 122442024