Search a number
-
+
224213440 = 2651163697
BaseRepresentation
bin11010101110100…
…11100111000000
3120121220020000111
431113103213000
5424344312230
634125401104
75361532333
oct1527234700
9517806014
10224213440
11105620970
1263109194
13375b4499
1421ac661a
1514a3d92a
hexd5d39c0

224213440 has 56 divisors (see below), whose sum is σ = 582454512. Its totient is φ = 81530880.

The previous prime is 224213411. The next prime is 224213449. The reversal of 224213440 is 44312422.

It is a happy number.

224213440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224213449) 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, 28329 + ... + 35368.

Almost surely, 2224213440 is an apocalyptic number.

224213440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224213440 is an abundant number, since it is smaller than the sum of its proper divisors (358241072).

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

224213440 is a wasteful number, since it uses less digits than its factorization.

224213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63725 (or 63715 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 224213440 is about 14973.7583792447. The cubic root of 224213440 is about 607.5106288396.

Adding to 224213440 its reverse (44312422), we get a palindrome (268525862).

The spelling of 224213440 in words is "two hundred twenty-four million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 63697 127394 254788 318485 509576 636970 700667 1019152 1273940 1401334 2038304 2547880 2802668 3503335 4076608 5095760 5605336 7006670 10191520 11210672 14013340 20383040 22421344 28026680 44842688 56053360 112106720 224213440