Search a number
-
+
223351344 = 24342359127
BaseRepresentation
bin11010101000000…
…01001000110000
3120120021102110000
431110001020300
5424134220334
634055110000
75351312046
oct1524011060
9516242400
10223351344
11105092197
1262972300
1337371c78
1421940396
151491d299
hexd501230

223351344 has 200 divisors, whose sum is σ = 691384320. Its totient is φ = 69455232.

The previous prime is 223351343. The next prime is 223351357. The reversal of 223351344 is 443153322.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223351343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1758609 + ... + 1758735.

Almost surely, 2223351344 is an apocalyptic number.

223351344 is a gapful number since it is divisible by the number (24) 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 223351344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345692160).

223351344 is an abundant number, since it is smaller than the sum of its proper divisors (468032976).

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

223351344 is a wasteful number, since it uses less digits than its factorization.

223351344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 223351344 is about 14944.9437603492. The cubic root of 223351344 is about 606.7310068755.

The spelling of 223351344 in words is "two hundred twenty-three million, three hundred fifty-one thousand, three hundred forty-four".