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42223446 = 23223791291
BaseRepresentation
bin1010000100010…
…0011101010110
32221110011200100
42201010131112
541302122241
64104554530
71021615266
oct241043526
987404610
1042223446
112191a111
1212182a46
1389948b5
1458717a6
153a909b6
hex2844756

42223446 has 48 divisors (see below), whose sum is σ = 96744960. Its totient is φ = 13281840.

The previous prime is 42223429. The next prime is 42223513. The reversal of 42223446 is 64432224.

42223446 is a `hidden beast` number, since 422 + 234 + 4 + 6 = 666.

It is a super-2 number, since 2×422234462 = 3565638784229832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32061 + ... + 33351.

It is an arithmetic number, because the mean of its divisors is an integer number (2015520).

Almost surely, 242223446 is an apocalyptic number.

42223446 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42223446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48372480).

42223446 is an abundant number, since it is smaller than the sum of its proper divisors (54521514).

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

42223446 is a wasteful number, since it uses less digits than its factorization.

42223446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1398 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 42223446 is about 6497.9570635701. The cubic root of 42223446 is about 348.2180064838.

The spelling of 42223446 in words is "forty-two million, two hundred twenty-three thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 23 46 69 79 138 158 207 237 414 474 711 1291 1422 1817 2582 3634 3873 5451 7746 10902 11619 16353 23238 29693 32706 59386 89079 101989 178158 203978 267237 305967 534474 611934 917901 1835802 2345747 4691494 7037241 14074482 21111723 42223446