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443201222204020 = 225710746729457629
BaseRepresentation
bin110010011000101101101001…
…1011010011101101001110100
32011010020121211012112111010101
41210301123103122131221310
5431042402100341012040
64210335455233003444
7162232142306534260
oct14461332332355164
92133217735474111
10443201222204020
1111924364577a605
124185b4486b3584
131603b907c31407
147b630a716b0a0
153638a32e8809a
hex19316d369da74

443201222204020 has 48 divisors (see below), whose sum is σ = 1063692867162240. Its totient is φ = 151953285631104.

The previous prime is 443201222203979. The next prime is 443201222204023. The reversal of 443201222204020 is 20402222102344.

It is a happy number.

It is a super-3 number, since 3×4432012222040203 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 443201222204020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443201222204023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316566 + ... + 29774194.

It is an arithmetic number, because the mean of its divisors is an integer number (22160268065880).

Almost surely, 2443201222204020 is an apocalyptic number.

It is an amenable number.

443201222204020 is an abundant number, since it is smaller than the sum of its proper divisors (620491644958220).

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

443201222204020 is a wasteful number, since it uses less digits than its factorization.

443201222204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29565112 (or 29565110 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 443201222204020 its reverse (20402222102344), we get a palindrome (463603444306364).

The spelling of 443201222204020 in words is "four hundred forty-three trillion, two hundred one billion, two hundred twenty-two million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 107467 214934 429868 537335 752269 1074670 1504538 2149340 3009076 3761345 7522690 15045380 29457629 58915258 117830516 147288145 206203403 294576290 412406806 589152580 824813612 1031017015 2062034030 4124068060 3165723015743 6331446031486 12662892062972 15828615078715 22160061110201 31657230157430 44320122220402 63314460314860 88640244440804 110800305551005 221600611102010 443201222204020