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122445444 = 223111138209
BaseRepresentation
bin1110100110001…
…01111010000100
322112101212120110
413103011322010
5222321223234
620052233020
73014524542
oct723057204
9275355513
10122445444
1163132090
123500b770
131c4a2034
1412394d92
15ab3a1e9
hex74c5e84

122445444 has 48 divisors (see below), whose sum is σ = 314475840. Its totient is φ = 36771840.

The previous prime is 122445413. The next prime is 122445457. The reversal of 122445444 is 444544221.

It is an unprimeable number.

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, 10812 + ... + 19020.

It is an arithmetic number, because the mean of its divisors is an integer number (6551580).

Almost surely, 2122445444 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 122445444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157237920).

122445444 is an abundant number, since it is smaller than the sum of its proper divisors (192030396).

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

122445444 is a wasteful number, since it uses less digits than its factorization.

122445444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8340 (or 8338 counting only the distinct ones).

The product of its digits is 20480, while the sum is 30.

The square root of 122445444 is about 11065.5069472664. The cubic root of 122445444 is about 496.5704555667.

Adding to 122445444 its reverse (444544221), we get a palindrome (566989665).

The spelling of 122445444 in words is "one hundred twenty-two million, four hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1243 1356 2486 3729 4972 7458 8209 14916 16418 24627 32836 49254 90299 98508 180598 270897 361196 541794 927617 1083588 1855234 2782851 3710468 5565702 10203787 11131404 20407574 30611361 40815148 61222722 122445444