Search a number
223910400 = 293527317
BaseRepresentation
bin11010101100010…
…01101000000000
3120121022211022210
431112021220000
5424310113100
634115102120
75356131000
oct1526115000
9517284283
10223910400
1110543421a
1262ba1940
133750957c
1421a48000
15149cdc50
hexd589a00

223910400 has 480 divisors, whose sum is σ = 913334400. Its totient is φ = 48168960.

The previous prime is 223910399. The next prime is 223910419. The reversal of 223910400 is 4019322.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 13171192 + ... + 13171208.

It is an arithmetic number, because the mean of its divisors is an integer number (1902780).

Almost surely, 2223910400 is an apocalyptic number.

223910400 is a gapful number since it is divisible by the number (20) 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 223910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456667200).

223910400 is an abundant number, since it is smaller than the sum of its proper divisors (689424000).

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

223910400 is an equidigital number, since it uses as much as digits as its factorization.

223910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 223910400 is about 14963.6359217939. The cubic root of 223910400 is about 607.2368078701.

Adding to 223910400 its reverse (4019322), we get a palindrome (227929722).

The spelling of 223910400 in words is "two hundred twenty-three million, nine hundred ten thousand, four hundred".