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442220424 = 23341449411
BaseRepresentation
bin11010010110111…
…011111110001000
31010211010010101020
4122112323332020
51401202023144
6111514152440
713646545242
oct3226737610
91124103336
10442220424
11207692828
12104122720
13708049b9
1442a35092
1528c53419
hex1a5bbf88

442220424 has 32 divisors (see below), whose sum is σ = 1132518240. Its totient is φ = 143811200.

The previous prime is 442220423. The next prime is 442220437. The reversal of 442220424 is 424022244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 442220394 and 442220403.

It is not an unprimeable number, because it can be changed into a prime (442220423) 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 7 ways as a sum of consecutive naturals, for example, 223722 + ... + 225689.

It is an arithmetic number, because the mean of its divisors is an integer number (35391195).

Almost surely, 2442220424 is an apocalyptic number.

It is an amenable number.

442220424 is an abundant number, since it is smaller than the sum of its proper divisors (690297816).

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

442220424 is a wasteful number, since it uses less digits than its factorization.

442220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449461 (or 449457 counting only the distinct ones).

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

The square root of 442220424 is about 21029.0376384655. The cubic root of 442220424 is about 761.8677652338.

Adding to 442220424 its reverse (424022244), we get a palindrome (866242668).

The spelling of 442220424 in words is "four hundred forty-two million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 449411 898822 1348233 1797644 2696466 3595288 5392932 10785864 18425851 36851702 55277553 73703404 110555106 147406808 221110212 442220424