Search a number
-
+
224563356 = 2232192911321
BaseRepresentation
bin11010110001010…
…01000010011100
3120122120000000100
431120221002130
5424442011411
634141101100
75364520443
oct1530510234
9518500010
10224563356
1110583a856
1263257790
13376a7834
1421b77d5a
1514aac456
hexd62909c

224563356 has 72 divisors (see below), whose sum is σ = 618181200. Its totient is φ = 68463360.

The previous prime is 224563351. The next prime is 224563357. The reversal of 224563356 is 653365422.

224563356 is a `hidden beast` number, since 2 + 245 + 63 + 356 = 666.

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 224563356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224563351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14176 + ... + 25496.

It is an arithmetic number, because the mean of its divisors is an integer number (8585850).

Almost surely, 2224563356 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 224563356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309090600).

224563356 is an abundant number, since it is smaller than the sum of its proper divisors (393617844).

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

224563356 is a wasteful number, since it uses less digits than its factorization.

224563356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11379 (or 11374 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 224563356 is about 14985.4381317331. The cubic root of 224563356 is about 607.8264992879.

The spelling of 224563356 in words is "two hundred twenty-four million, five hundred sixty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4959 6612 9918 11321 19836 22642 33963 45284 67926 101889 135852 203778 215099 328309 407556 430198 645297 656618 860396 984927 1290594 1313236 1935891 1969854 2581188 2954781 3871782 3939708 5909562 6237871 7743564 11819124 12475742 18713613 24951484 37427226 56140839 74854452 112281678 224563356