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422202440 = 235115771663
BaseRepresentation
bin11001001010100…
…100110001001000
31002102110002212102
4121022210301020
51331040434230
6105521132532
713314442622
oct3112446110
91072402772
10422202440
111a735aa40
12b948a148
136961633a
1440103c12
15270ec045
hex192a4c48

422202440 has 64 divisors (see below), whose sum is σ = 1038735360. Its totient is φ = 153169920.

The previous prime is 422202433. The next prime is 422202481. The reversal of 422202440 is 44202224.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 253049 + ... + 254711.

It is an arithmetic number, because the mean of its divisors is an integer number (16230240).

Almost surely, 2422202440 is an apocalyptic number.

422202440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519367680).

422202440 is an abundant number, since it is smaller than the sum of its proper divisors (616532920).

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

422202440 is a wasteful number, since it uses less digits than its factorization.

422202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 422202440 is about 20547.5653058945. The cubic root of 422202440 is about 750.1939883389.

Adding to 422202440 its reverse (44202224), we get a palindrome (466404664).

The spelling of 422202440 in words is "four hundred twenty-two million, two hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 577 1154 1663 2308 2885 3326 4616 5770 6347 6652 8315 11540 12694 13304 16630 18293 23080 25388 31735 33260 36586 50776 63470 66520 73172 91465 126940 146344 182930 253880 365860 731720 959551 1919102 3838204 4797755 7676408 9595510 10555061 19191020 21110122 38382040 42220244 52775305 84440488 105550610 211101220 422202440