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422315400 = 2335213291867
BaseRepresentation
bin11001001011000…
…000010110001000
31002102122211211010
4121023000112020
51331103043100
6105523403520
713315423143
oct3113002610
91072584733
10422315400
111a74278a1
12b95235a0
1369655890
144013305a
1527120750
hex192c0588

422315400 has 192 divisors, whose sum is σ = 1459281600. Its totient is φ = 100316160.

The previous prime is 422315363. The next prime is 422315419. The reversal of 422315400 is 4513224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225267 + ... + 227133.

It is an arithmetic number, because the mean of its divisors is an integer number (7600425).

Almost surely, 2422315400 is an apocalyptic number.

422315400 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 422315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729640800).

422315400 is an abundant number, since it is smaller than the sum of its proper divisors (1036966200).

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

422315400 is a wasteful number, since it uses less digits than its factorization.

422315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 422315400 is about 20550.3138662163. The cubic root of 422315400 is about 750.2608870179.

Adding to 422315400 its reverse (4513224), we get a palindrome (426828624).

The spelling of 422315400 in words is "four hundred twenty-two million, three hundred fifteen thousand, four hundred".