Search a number
-
+
422818560 = 28325172127
BaseRepresentation
bin11001001100111…
…011001100000000
31002110121102000200
4121030323030000
51331220143220
6105542245200
713322620113
oct3114731400
91073542020
10422818560
111a774092a
12b9726800
13697a08c8
144022457a
15271be890
hex1933b300

422818560 has 324 divisors, whose sum is σ = 1566259968. Its totient is φ = 105283584.

The previous prime is 422818559. The next prime is 422818567. The reversal of 422818560 is 65818224.

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 (422818567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3329217 + ... + 3329343.

Almost surely, 2422818560 is an apocalyptic number.

422818560 is a gapful number since it is divisible by the number (40) 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 422818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783129984).

422818560 is an abundant number, since it is smaller than the sum of its proper divisors (1143441408).

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

422818560 is a wasteful number, since it uses less digits than its factorization.

422818560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 422818560 is about 20562.5523707540. The cubic root of 422818560 is about 750.5587303239.

The spelling of 422818560 in words is "four hundred twenty-two million, eight hundred eighteen thousand, five hundred sixty".