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422535220 = 22529225121
BaseRepresentation
bin11001001011110…
…110000000110100
31002110002000100121
4121023312000310
51331132111340
6105532221324
713320330052
oct3113660064
91073060317
10422535220
111a7567a68
12b960a844
1369701953
144018d1d2
152716594a
hex192f6034

422535220 has 36 divisors (see below), whose sum is σ = 919013004. Its totient is φ = 163179520.

The previous prime is 422535209. The next prime is 422535229. The reversal of 422535220 is 22535224.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2039184 + 420496036 = 1428^2 + 20506^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422535229) 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 11 ways as a sum of consecutive naturals, for example, 4260 + ... + 29380.

It is an arithmetic number, because the mean of its divisors is an integer number (25528139).

Almost surely, 2422535220 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 422535220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459506502).

422535220 is an abundant number, since it is smaller than the sum of its proper divisors (496477784).

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

422535220 is a wasteful number, since it uses less digits than its factorization.

422535220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25188 (or 25157 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 422535220 is about 20555.6615072344. The cubic root of 422535220 is about 750.3910375655.

The spelling of 422535220 in words is "four hundred twenty-two million, five hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3364 4205 8410 16820 25121 50242 100484 125605 251210 502420 728509 1457018 2914036 3642545 7285090 14570180 21126761 42253522 84507044 105633805 211267610 422535220