Search a number
-
+
422420940 = 223353592179
BaseRepresentation
bin11001001011011…
…010000111001100
31002102212012121000
4121023122013030
51331114432230
6105525540300
713316342634
oct3113320714
91072765530
10422420940
111a749a117
12b9574690
1369691926
144015d6c4
1527141b60
hex192da1cc

422420940 has 96 divisors (see below), whose sum is σ = 1318464000. Its totient is φ = 112280256.

The previous prime is 422420899. The next prime is 422420941. The reversal of 422420940 is 49024224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (422420941) 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, 192771 + ... + 194949.

It is an arithmetic number, because the mean of its divisors is an integer number (13734000).

Almost surely, 2422420940 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 422420940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659232000).

422420940 is an abundant number, since it is smaller than the sum of its proper divisors (896043060).

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

422420940 is a wasteful number, since it uses less digits than its factorization.

422420940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 422420940 is about 20552.8815497973. The cubic root of 422420940 is about 750.3233805467.

The spelling of 422420940 in words is "four hundred twenty-two million, four hundred twenty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 359 540 718 1077 1436 1795 2154 2179 3231 3590 4308 4358 5385 6462 6537 7180 8716 9693 10770 10895 12924 13074 16155 19386 19611 21540 21790 26148 32310 32685 38772 39222 43580 48465 58833 64620 65370 78444 96930 98055 117666 130740 193860 196110 235332 294165 392220 588330 782261 1176660 1564522 2346783 3129044 3911305 4693566 7040349 7822610 9387132 11733915 14080698 15645220 21121047 23467830 28161396 35201745 42242094 46935660 70403490 84484188 105605235 140806980 211210470 422420940