Search a number
-
+
422323452 = 2232174116831
BaseRepresentation
bin11001001011000…
…010010011111100
31002102200020212100
4121023002103330
51331103322302
6105523505100
713315455465
oct3113022374
91072606770
10422323452
111a7432951
12b9528190
1369659445
1440135d6c
1527122d1c
hex192c24fc

422323452 has 72 divisors (see below), whose sum is σ = 1157974272. Its totient is φ = 129254400.

The previous prime is 422323399. The next prime is 422323453. The reversal of 422323452 is 254323224.

It is a happy number.

422323452 is a `hidden beast` number, since 422 + 3 + 234 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422323453) 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, 16677 + ... + 33507.

It is an arithmetic number, because the mean of its divisors is an integer number (16082976).

Almost surely, 2422323452 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 422323452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578987136).

422323452 is an abundant number, since it is smaller than the sum of its proper divisors (735650820).

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

422323452 is a wasteful number, since it uses less digits than its factorization.

422323452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16899 (or 16894 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 422323452 is about 20550.5097746990. The cubic root of 422323452 is about 750.2656552253.

Adding to 422323452 its reverse (254323224), we get a palindrome (676646676).

The spelling of 422323452 in words is "four hundred twenty-two million, three hundred twenty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6273 8364 12546 16831 25092 33662 50493 67324 100986 151479 201972 286127 302958 572254 605916 690071 858381 1144508 1380142 1716762 2070213 2575143 2760284 3433524 4140426 5150286 6210639 8280852 10300572 11731207 12421278 23462414 24842556 35193621 46924828 70387242 105580863 140774484 211161726 422323452