Search a number
-
+
422020240 = 245172271367
BaseRepresentation
bin11001001001111…
…000010010010000
31002102002211221021
4121021320102100
51331014121430
6105513205224
713313053465
oct3111702220
91072084837
10422020240
111a7246064
12b9400814
1369581425
144009766c
15270b307a
hex19278490

422020240 has 80 divisors (see below), whose sum is σ = 1044254592. Its totient is φ = 158062592.

The previous prime is 422020231. The next prime is 422020243. The reversal of 422020240 is 42020224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (422020243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308037 + ... + 309403.

Almost surely, 2422020240 is an apocalyptic number.

422020240 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 422020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522127296).

422020240 is an abundant number, since it is smaller than the sum of its proper divisors (622234352).

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

422020240 is a wasteful number, since it uses less digits than its factorization.

422020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 422020240 is about 20543.1312121595. The cubic root of 422020240 is about 750.0860582731.

Subtracting from 422020240 its sum of digits (16), we obtain a palindrome (422020224).

Adding to 422020240 its reverse (42020224), we get a palindrome (464040464).

The spelling of 422020240 in words is "four hundred twenty-two million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 227 272 340 454 680 908 1135 1360 1367 1816 2270 2734 3632 3859 4540 5468 6835 7718 9080 10936 13670 15436 18160 19295 21872 23239 27340 30872 38590 46478 54680 61744 77180 92956 109360 116195 154360 185912 232390 308720 310309 371824 464780 620618 929560 1241236 1551545 1859120 2482472 3103090 4964944 5275253 6206180 10550506 12412360 21101012 24824720 26376265 42202024 52752530 84404048 105505060 211010120 422020240