Search a number
-
+
422887212 = 2232115320149
BaseRepresentation
bin11001001101001…
…011111100101100
31002110201220012100
4121031023330230
51331224342322
6105543535100
713323324216
oct3115137454
91073656170
10422887212
111a7788470
12b975a490
13697c5c27
14402415b6
15271d4dac
hex1934bf2c

422887212 has 72 divisors (see below), whose sum is σ = 1188205200. Its totient is φ = 125723520.

The previous prime is 422887109. The next prime is 422887217. The reversal of 422887212 is 212788224.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (422887217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10914 + ... + 31062.

It is an arithmetic number, because the mean of its divisors is an integer number (16502850).

Almost surely, 2422887212 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 422887212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594102600).

422887212 is an abundant number, since it is smaller than the sum of its proper divisors (765317988).

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

422887212 is a wasteful number, since it uses less digits than its factorization.

422887212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20223 (or 20218 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 422887212 is about 20564.2216482900. The cubic root of 422887212 is about 750.5993502448.

The spelling of 422887212 in words is "four hundred twenty-two million, eight hundred eighty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 318 396 477 583 636 954 1166 1749 1908 2332 3498 5247 6996 10494 20149 20988 40298 60447 80596 120894 181341 221639 241788 362682 443278 664917 725364 886556 1067897 1329834 1994751 2135794 2659668 3203691 3989502 4271588 6407382 7979004 9611073 11746867 12814764 19222146 23493734 35240601 38444292 46987468 70481202 105721803 140962404 211443606 422887212