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242022204040 = 2355322153989
BaseRepresentation
bin1110000101100110100…
…1011100001010001000
3212010200221110211102211
43201121221130022020
512431130141012130
6303103343434504
723325351535261
oct3413151341210
9763627424384
10242022204040
1193706252051
123aaa48b5a34
1319a90321476
14b9dd087968
156467757a2a
hex3859a5c288

242022204040 has 48 divisors (see below), whose sum is σ = 555018603300. Its totient is φ = 94982254848.

The previous prime is 242022204019. The next prime is 242022204049. The reversal of 242022204040 is 40402220242.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 96734684484 + 145287519556 = 311022^2 + 381166^2 .

It is not an unprimeable number, because it can be changed into a prime (242022204049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964635 + ... + 1189354.

Almost surely, 2242022204040 is an apocalyptic number.

242022204040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242022204040 is an abundant number, since it is smaller than the sum of its proper divisors (312996399260).

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

242022204040 is a wasteful number, since it uses less digits than its factorization.

242022204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154106 (or 2154049 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 242022204040 its reverse (40402220242), we get a palindrome (282424424282).

The spelling of 242022204040 in words is "two hundred forty-two billion, twenty-two million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 2809 5618 11236 14045 22472 28090 56180 112360 2153989 4307978 8615956 10769945 17231912 21539890 43079780 86159560 114161417 228322834 456645668 570807085 913291336 1141614170 2283228340 4566456680 6050555101 12101110202 24202220404 30252775505 48404440808 60505551010 121011102020 242022204040