Search a number
-
+
223142960 = 2453189977
BaseRepresentation
bin11010100110011…
…10010000110000
3120112212211121002
431103032100300
5424111033320
634050421132
75346453365
oct1523162060
9515784532
10223142960
11104a5a677
12628917a8
13372cb171
14218c846c
15148cb675
hexd4ce430

223142960 has 40 divisors (see below), whose sum is σ = 535549056. Its totient is φ = 86376960.

The previous prime is 223142921. The next prime is 223142963. The reversal of 223142960 is 69241322.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2231429603 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223142963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42509 + ... + 47468.

Almost surely, 2223142960 is an apocalyptic number.

223142960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223142960 is an abundant number, since it is smaller than the sum of its proper divisors (312406096).

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

223142960 is a wasteful number, since it uses less digits than its factorization.

223142960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90021 (or 90015 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 223142960 is about 14937.9704110030. The cubic root of 223142960 is about 606.5422573588.

The spelling of 223142960 in words is "two hundred twenty-three million, one hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 89977 179954 359908 449885 719816 899770 1439632 1799540 2789287 3599080 5578574 7198160 11157148 13946435 22314296 27892870 44628592 55785740 111571480 223142960