Search a number
-
+
224987440 = 2452812343
BaseRepresentation
bin11010110100100…
…00100100110000
3120200100112202011
431122100210300
5430044044230
634154132304
75401235026
oct1532204460
9520315664
10224987440
11105aaa437
1263421094
13377c5882
1421c48716
1514b42e2a
hexd690930

224987440 has 20 divisors (see below), whose sum is σ = 523095984. Its totient is φ = 89994944.

The previous prime is 224987393. The next prime is 224987447. The reversal of 224987440 is 44789422.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 224987393 and 224987402.

It is not an unprimeable number, because it can be changed into a prime (224987447) 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 3 ways as a sum of consecutive naturals, for example, 1406092 + ... + 1406251.

Almost surely, 2224987440 is an apocalyptic number.

224987440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224987440 is an abundant number, since it is smaller than the sum of its proper divisors (298108544).

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

224987440 is a wasteful number, since it uses less digits than its factorization.

224987440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812356 (or 2812350 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 224987440 is about 14999.5813274904. The cubic root of 224987440 is about 608.2088819457.

The spelling of 224987440 in words is "two hundred twenty-four million, nine hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2812343 5624686 11249372 14061715 22498744 28123430 44997488 56246860 112493720 224987440