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442221031 = 7227113329
BaseRepresentation
bin11010010110111…
…100000111100111
31010211010011012201
4122112330013213
51401202033111
6111514155331
713646550100
oct3226740747
91124104181
10442221031
1120769322a
12104122b47
1370805065
1442a353a7
1528c536c1
hex1a5bc1e7

442221031 has 12 divisors (see below), whose sum is σ = 514764720. Its totient is φ = 378792960.

The previous prime is 442221011. The next prime is 442221037. The reversal of 442221031 is 130122244.

It is not a de Polignac number, because 442221031 - 217 = 442089959 is a prime.

It is a super-2 number, since 2×4422210312 = 391118880517405922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442221037) 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 11 ways as a sum of consecutive naturals, for example, 131175 + ... + 134503.

It is an arithmetic number, because the mean of its divisors is an integer number (42897060).

Almost surely, 2442221031 is an apocalyptic number.

442221031 is a deficient number, since it is larger than the sum of its proper divisors (72543689).

442221031 is a wasteful number, since it uses less digits than its factorization.

442221031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 442221031 is about 21029.0520708852. The cubic root of 442221031 is about 761.8681138183.

Adding to 442221031 its reverse (130122244), we get a palindrome (572343275).

The spelling of 442221031 in words is "four hundred forty-two million, two hundred twenty-one thousand, thirty-one".

Divisors: 1 7 49 2711 3329 18977 23303 132839 163121 9024919 63174433 442221031