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423315200 = 2852711859
BaseRepresentation
bin11001001110110…
…100011100000000
31002111112122021202
4121032310130000
51331332041300
6110001040332
713330056050
oct3116643400
91074478252
10423315200
111a7a4aa80
12b99260a8
1369915989
1440313560
152726bad5
hex193b4700

423315200 has 216 divisors, whose sum is σ = 1307832960. Its totient is φ = 131788800.

The previous prime is 423315149. The next prime is 423315203. The reversal of 423315200 is 2513324.

It is a happy number.

It is a super-4 number, since 4×4233152004 (a number of 36 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423315203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492371 + ... + 493229.

Almost surely, 2423315200 is an apocalyptic number.

423315200 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 423315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653916480).

423315200 is an abundant number, since it is smaller than the sum of its proper divisors (884517760).

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

423315200 is a wasteful number, since it uses less digits than its factorization.

423315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 423315200 is about 20574.6251484687. The cubic root of 423315200 is about 750.8524825161.

Adding to 423315200 its reverse (2513324), we get a palindrome (425828524).

The spelling of 423315200 in words is "four hundred twenty-three million, three hundred fifteen thousand, two hundred".