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223384140 = 2232572193143
BaseRepresentation
bin11010101000010…
…01001001001100
3120120100002102200
431110021021030
5424141243030
634055521500
75351506500
oct1524111114
9516302380
10223384140
111051048a1
1262989290
1337383b85
142194c300
1514927d60
hexd50924c

223384140 has 432 divisors, whose sum is σ = 876395520. Its totient is φ = 45722880.

The previous prime is 223384127. The next prime is 223384141. The reversal of 223384140 is 41483322.

It is not an unprimeable number, because it can be changed into a prime (223384141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5194959 + ... + 5195001.

Almost surely, 2223384140 is an apocalyptic number.

223384140 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 223384140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438197760).

223384140 is an abundant number, since it is smaller than the sum of its proper divisors (653011380).

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

223384140 is a wasteful number, since it uses less digits than its factorization.

223384140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 223384140 is about 14946.0409473546. The cubic root of 223384140 is about 606.7607020572.

The spelling of 223384140 in words is "two hundred twenty-three million, three hundred eighty-four thousand, one hundred forty".