Search a number
-
+
223741440 = 293451383
BaseRepresentation
bin11010101011000…
…00011000000000
3120121000020120000
431111200120000
5424234211230
634111320000
75354525256
oct1525403000
9517006500
10223741440
1110532928a
1262b20000
133747a6b0
1421a025d6
1514998b60
hexd560600

223741440 has 400 divisors, whose sum is σ = 873412848. Its totient is φ = 54411264.

The previous prime is 223741433. The next prime is 223741451. The reversal of 223741440 is 44147322.

It is a super-3 number, since 3×2237414403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695639 + ... + 2695721.

Almost surely, 2223741440 is an apocalyptic number.

223741440 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 223741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436706424).

223741440 is an abundant number, since it is smaller than the sum of its proper divisors (649671408).

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

223741440 is an equidigital number, since it uses as much as digits as its factorization.

223741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 223741440 is about 14957.9891696712. The cubic root of 223741440 is about 607.0840316577.

Adding to 223741440 its reverse (44147322), we get a palindrome (267888762).

The spelling of 223741440 in words is "two hundred twenty-three million, seven hundred forty-one thousand, four hundred forty".