Search a number
-
+
422122242221224 = 23594012322289629
BaseRepresentation
bin101111111111010101111111…
…0010011001010010010101000
32001100121111021211212201112121
41133332223332103022102220
5420312022323002034344
64053440140405121024
7154625216450132656
oct13776537623122250
92040544254781477
10422122242221224
11112557046036626
123b4161509b9174
131516cc5897541c
147634b7b3a9dd6
1533c057cc04684
hex17feafe4ca4a8

422122242221224 has 32 divisors (see below), whose sum is σ = 804914202708000. Its totient is φ = 207478633470912.

The previous prime is 422122242221221. The next prime is 422122242221227.

422122242221224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (422122242221221) and next prime (422122242221227).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 422122242221224.

It is not an unprimeable number, because it can be changed into a prime (422122242221221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7793242 + ... + 30082870.

It is an arithmetic number, because the mean of its divisors is an integer number (25153568834625).

Almost surely, 2422122242221224 is an apocalyptic number.

It is an amenable number.

422122242221224 is a deficient number, since it is larger than the sum of its proper divisors (382791960486776).

422122242221224 is a wasteful number, since it uses less digits than its factorization.

422122242221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22329817 (or 22329813 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

The spelling of 422122242221224 in words is "four hundred twenty-two trillion, one hundred twenty-two billion, two hundred forty-two million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 59 118 236 472 40123 80246 160492 320984 2367257 4734514 9469028 18938056 22289629 44579258 89158516 178317032 1315088111 2630176222 5260352444 10520704888 894326784367 1788653568734 3577307137468 7154614274936 52765280277653 105530560555306 211061121110612 422122242221224