Search a number
-
+
223909140 = 2235713231783
BaseRepresentation
bin11010101100010…
…01010100010100
3120121022202121010
431112021110110
5424310043030
634115052220
75356124220
oct1526112424
9517282533
10223909140
11105433284
1262ba1070
1337508b20
1421a47780
15149cd6b0
hexd589514

223909140 has 192 divisors, whose sum is σ = 805625856. Its totient is φ = 45163008.

The previous prime is 223909111. The next prime is 223909151. The reversal of 223909140 is 41909322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 223909098 and 223909107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124689 + ... + 126471.

It is an arithmetic number, because the mean of its divisors is an integer number (4195968).

Almost surely, 2223909140 is an apocalyptic number.

223909140 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 223909140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402812928).

223909140 is an abundant number, since it is smaller than the sum of its proper divisors (581716716).

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

223909140 is a wasteful number, since it uses less digits than its factorization.

223909140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 223909140 is about 14963.5938196678. The cubic root of 223909140 is about 607.2356688433.

The spelling of 223909140 in words is "two hundred twenty-three million, nine hundred nine thousand, one hundred forty".