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422525224 = 231124310151
BaseRepresentation
bin11001001011110…
…011100100101000
31002110001111122101
4121023303210220
51331131301344
6105532103144
713320255652
oct3113634450
91073044571
10422525224
111a7560500
12b9604ab4
13696ca234
14401896d2
15271629d4
hex192f3928

422525224 has 48 divisors (see below), whose sum is σ = 891142560. Its totient is φ = 187572000.

The previous prime is 422525209. The next prime is 422525231.

422525224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422525192 and 422525201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36549 + ... + 46699.

It is an arithmetic number, because the mean of its divisors is an integer number (18565470).

Almost surely, 2422525224 is an apocalyptic number.

422525224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422525224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445571280).

422525224 is an abundant number, since it is smaller than the sum of its proper divisors (468617336).

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

422525224 is a wasteful number, since it uses less digits than its factorization.

422525224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10222 (or 10207 counting only the distinct ones).

The product of its digits is 12800, while the sum is 28.

The square root of 422525224 is about 20555.4183611037. The cubic root of 422525224 is about 750.3851201354.

The spelling of 422525224 in words is "four hundred twenty-two million, five hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 172 242 344 473 484 946 968 1892 3784 5203 10151 10406 20302 20812 40604 41624 81208 111661 223322 436493 446644 872986 893288 1228271 1745972 2456542 3491944 4801423 4913084 9602846 9826168 19205692 38411384 52815653 105631306 211262612 422525224