Search a number
-
+
422400654 = 232132716661
BaseRepresentation
bin11001001011010…
…101001010001110
31002102211011202200
4121023111022032
51331113310104
6105525302330
713316226534
oct3113251216
91072734680
10422400654
111a7485955
12b95649a6
1369685620
1440156154
152713ab39
hex192d528e

422400654 has 48 divisors (see below), whose sum is σ = 989386944. Its totient is φ = 129470400.

The previous prime is 422400623. The next prime is 422400659. The reversal of 422400654 is 456004224.

422400654 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 0 + 0 + 654 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422400659) 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, 60084 + ... + 66744.

It is an arithmetic number, because the mean of its divisors is an integer number (20612228).

Almost surely, 2422400654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422400654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494693472).

422400654 is an abundant number, since it is smaller than the sum of its proper divisors (566986290).

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

422400654 is a wasteful number, since it uses less digits than its factorization.

422400654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6953 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 422400654 is about 20552.3880364302. The cubic root of 422400654 is about 750.3113693809.

Adding to 422400654 its reverse (456004224), we get a palindrome (878404878).

The spelling of 422400654 in words is "four hundred twenty-two million, four hundred thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 271 542 813 1626 2439 3523 4878 6661 7046 10569 13322 19983 21138 31707 39966 59949 63414 86593 119898 173186 259779 519558 779337 1558674 1805131 3610262 5415393 10830786 16246179 23466703 32492358 46933406 70400109 140800218 211200327 422400654