Search a number
-
+
224103996 = 223417232961
BaseRepresentation
bin11010101101110…
…00111000111100
3120121200122220000
431112320320330
5424332311441
634123154300
75360565264
oct1526707074
9517618800
10224103996
11105556716
1263075990
133757671c
1421a987a4
1514a1b2b6
hexd5b8e3c

224103996 has 240 divisors, whose sum is σ = 680581440. Its totient is φ = 63866880.

The previous prime is 224103983. The next prime is 224104033. The reversal of 224103996 is 699301422.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 224103996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3673806 + ... + 3673866.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756).

Almost surely, 2224103996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224103996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340290720).

224103996 is an abundant number, since it is smaller than the sum of its proper divisors (456477444).

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

224103996 is a wasteful number, since it uses less digits than its factorization.

224103996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 224103996 is about 14970.1034064565. The cubic root of 224103996 is about 607.4117658776.

The spelling of 224103996 in words is "two hundred twenty-four million, one hundred three thousand, nine hundred ninety-six".