Search a number
-
+
242000402022 = 232173721374351
BaseRepresentation
bin1110000101100001011…
…0010001011001100110
3212010122102110011200200
43201120112101121212
512431104100331042
6303101244251330
723324665322451
oct3413026213146
9763572404620
10242000402022
11936a4a10955
123aa99540b46
1319a88959a72
14b9da210498
15646589cc4c
hex3858591666

242000402022 has 48 divisors (see below), whose sum is σ = 570182213952. Its totient is φ = 73869753600.

The previous prime is 242000401999. The next prime is 242000402023. The reversal of 242000402022 is 220204000242.

242000402022 is a `hidden beast` number, since 2 + 420 + 0 + 0 + 40 + 202 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242000401986 and 242000402004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242000402023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10675854 + ... + 10698497.

It is an arithmetic number, because the mean of its divisors is an integer number (11878796124).

Almost surely, 2242000402022 is an apocalyptic number.

242000402022 is an abundant number, since it is smaller than the sum of its proper divisors (328181811930).

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

242000402022 is a wasteful number, since it uses less digits than its factorization.

242000402022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21374413 (or 21374410 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 242000402022 its reverse (220204000242), we get a palindrome (462204402264).

The spelling of 242000402022 in words is "two hundred forty-two billion, four hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322 21374351 42748702 64123053 128246106 192369159 363363967 384738318 726727934 790850987 1090091901 1581701974 2180183802 2372552961 3270275703 4745105922 6540551406 7117658883 13444466779 14235317766 26888933558 40333400337 80666800674 121000201011 242000402022