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122422350 = 23527910331
BaseRepresentation
bin1110100110000…
…00010001001110
322112100200220010
413103000101032
5222320003400
620051534050
73014400321
oct723002116
9275320803
10122422350
11631167a6
1234bba326
131c49467b
141238a7b8
15ab33450
hex74c044e

122422350 has 48 divisors (see below), whose sum is σ = 307480320. Its totient is φ = 32229600.

The previous prime is 122422343. The next prime is 122422361. The reversal of 122422350 is 53224221.

It is a super-3 number, since 3×1224223503 (a number of 25 digits) contains 333 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 23 ways as a sum of consecutive naturals, for example, 6685 + ... + 17015.

It is an arithmetic number, because the mean of its divisors is an integer number (6405840).

Almost surely, 2122422350 is an apocalyptic number.

122422350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122422350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160).

122422350 is an abundant number, since it is smaller than the sum of its proper divisors (185057970).

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

122422350 is a wasteful number, since it uses less digits than its factorization.

122422350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 122422350 is about 11064.4633850901. The cubic root of 122422350 is about 496.5392348075.

Adding to 122422350 its reverse (53224221), we get a palindrome (175646571).

The spelling of 122422350 in words is "one hundred twenty-two million, four hundred twenty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 150 158 237 395 474 790 1185 1975 2370 3950 5925 10331 11850 20662 30993 51655 61986 103310 154965 258275 309930 516550 774825 816149 1549650 1632298 2448447 4080745 4896894 8161490 12242235 20403725 24484470 40807450 61211175 122422350