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2242402400020 = 225151742517351
BaseRepresentation
bin100000101000011001100…
…110010011011100010100
321221101000212201122020111
4200220121212103130110
5243214420003300040
64434051225412404
7321002551623406
oct40503146233424
97841025648214
102242402400020
11794aa7771792
1230271403a104
131335c4581c73
147a766224b76
153d4e3cd5dea
hex20a19993714

2242402400020 has 24 divisors (see below), whose sum is σ = 4740230775168. Its totient is φ = 891020820000.

The previous prime is 2242402400011. The next prime is 2242402400059. The reversal of 2242402400020 is 200042042422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2242402399964 and 2242402400000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 371255656 + ... + 371261695.

It is an arithmetic number, because the mean of its divisors is an integer number (197509615632).

Almost surely, 22242402400020 is an apocalyptic number.

2242402400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242402400020 is an abundant number, since it is smaller than the sum of its proper divisors (2497828375148).

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

2242402400020 is a wasteful number, since it uses less digits than its factorization.

2242402400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742517511 (or 742517509 counting only the distinct ones).

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

Adding to 2242402400020 its reverse (200042042422), we get a palindrome (2442444442442).

The spelling of 2242402400020 in words is "two trillion, two hundred forty-two billion, four hundred two million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 151 302 604 755 1510 3020 742517351 1485034702 2970069404 3712586755 7425173510 14850347020 112120120001 224240240002 448480480004 560600600005 1121201200010 2242402400020