Search a number
-
+
223374140 = 225111735869
BaseRepresentation
bin11010101000001…
…10101100111100
3120120022120201022
431110012230330
5424140433030
634055403312
75351435363
oct1524065474
9516276638
10223374140
111050a8330
1262983538
133737c462
14219487da
1514924de5
hexd506b3c

223374140 has 48 divisors (see below), whose sum is σ = 514775520. Its totient is φ = 80743680.

The previous prime is 223374113. The next prime is 223374161. The reversal of 223374140 is 41473322.

223374140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35126 + ... + 40994.

It is an arithmetic number, because the mean of its divisors is an integer number (10724490).

Almost surely, 2223374140 is an apocalyptic number.

223374140 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 223374140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257387760).

223374140 is an abundant number, since it is smaller than the sum of its proper divisors (291401380).

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

223374140 is a wasteful number, since it uses less digits than its factorization.

223374140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 223374140 is about 14945.7064068581. The cubic root of 223374140 is about 606.7516478520.

The spelling of 223374140 in words is "two hundred twenty-three million, three hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 346 692 865 1730 1903 3460 3806 5869 7612 9515 11738 19030 23476 29345 38060 58690 64559 117380 129118 258236 322795 645590 1015337 1291180 2030674 4061348 5076685 10153370 11168707 20306740 22337414 44674828 55843535 111687070 223374140