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422463400 = 235216312959
BaseRepresentation
bin11001001011100…
…100011110101000
31002102221100211121
4121023210132220
51331122312100
6105530505024
713316610502
oct3113443650
91072840747
10422463400
111a7519007
12b9595174
13696a8058
1440170d72
152714e51a
hex192e47a8

422463400 has 48 divisors (see below), whose sum is σ = 988329600. Its totient is φ = 167935680.

The previous prime is 422463389. The next prime is 422463409. The reversal of 422463400 is 4364224.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (422463409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26121 + ... + 39079.

It is an arithmetic number, because the mean of its divisors is an integer number (20590200).

Almost surely, 2422463400 is an apocalyptic number.

422463400 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 422463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494164800).

422463400 is an abundant number, since it is smaller than the sum of its proper divisors (565866200).

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

422463400 is a wasteful number, since it uses less digits than its factorization.

422463400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13138 (or 13129 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 422463400 is about 20553.9144690251. The cubic root of 422463400 is about 750.3485195019.

The spelling of 422463400 in words is "four hundred twenty-two million, four hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1304 1630 3260 4075 6520 8150 12959 16300 25918 32600 51836 64795 103672 129590 259180 323975 518360 647950 1295900 2112317 2591800 4224634 8449268 10561585 16898536 21123170 42246340 52807925 84492680 105615850 211231700 422463400