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420204444 = 223112289397
BaseRepresentation
bin11001000010111…
…100111110011100
31002021200121010120
4121002330332130
51330033020234
6105410234540
713261451562
oct3102747634
91067617116
10420204444
111a6215900
12b8885a50
1369096aaa
143db43a32
1526d55049
hex190bcf9c

420204444 has 36 divisors (see below), whose sum is σ = 1077718152. Its totient is φ = 127334240.

The previous prime is 420204443. The next prime is 420204481. The reversal of 420204444 is 444402024.

It is a super-3 number, since 3×4202044443 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420204443) 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, 143247 + ... + 146150.

Almost surely, 2420204444 is an apocalyptic number.

420204444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420204444 is an abundant number, since it is smaller than the sum of its proper divisors (657513708).

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

420204444 is a wasteful number, since it uses less digits than its factorization.

420204444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289426 (or 289413 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 420204444 is about 20498.8888479351. Note that the first 4 decimals coincide. The cubic root of 420204444 is about 749.0087313146.

Adding to 420204444 its reverse (444402024), we get a palindrome (864606468).

It can be divided in two parts, 42020 and 4444, that added together give a palindrome (46464).

The spelling of 420204444 in words is "four hundred twenty million, two hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 289397 578794 868191 1157588 1736382 3183367 3472764 6366734 9550101 12733468 19100202 35017037 38200404 70034074 105051111 140068148 210102222 420204444