Search a number
-
+
422884660 = 2251141173271
BaseRepresentation
bin11001001101001…
…011010100110100
31002110201202200211
4121031023110310
51331224302120
6105543515204
713323313612
oct3115132464
91073652624
10422884660
111a7786560
12b9758b04
13697c4a13
14402406b2
15271d425a
hex1934b534

422884660 has 96 divisors (see below), whose sum is σ = 1001839104. Its totient is φ = 148608000.

The previous prime is 422884643. The next prime is 422884669. The reversal of 422884660 is 66488224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422884669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560325 + ... + 1560595.

It is an arithmetic number, because the mean of its divisors is an integer number (10435824).

Almost surely, 2422884660 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 422884660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500919552).

422884660 is an abundant number, since it is smaller than the sum of its proper divisors (578954444).

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

422884660 is a wasteful number, since it uses less digits than its factorization.

422884660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 422884660 is about 20564.1595986804. The cubic root of 422884660 is about 750.5978403596.

It can be divided in two parts, 4228 and 84660, that added together give a palindrome (88888).

The spelling of 422884660 in words is "four hundred twenty-two million, eight hundred eighty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 173 205 220 271 346 410 451 542 692 820 865 902 1084 1355 1730 1804 1903 2255 2710 2981 3460 3806 4510 5420 5962 7093 7612 9020 9515 11111 11924 14186 14905 19030 22222 28372 29810 35465 38060 44444 46883 55555 59620 70930 78023 93766 111110 122221 141860 156046 187532 222220 234415 244442 312092 390115 468830 488884 515713 611105 780230 937660 1031426 1222210 1560460 1922203 2062852 2444420 2578565 3844406 5157130 7688812 9611015 10314260 19222030 21144233 38444060 42288466 84576932 105721165 211442330 422884660