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224312130 = 23257379623
BaseRepresentation
bin11010101111010…
…11101101000010
3120122002020101200
431113223231002
5424410442010
634131442030
75362423140
oct1527535502
9518066350
10224312130
11105689029
1263156316
133761a393
1421b10590
1514a5ccc0
hexd5ebb42

224312130 has 96 divisors (see below), whose sum is σ = 684612864. Its totient is φ = 49880448.

The previous prime is 224312117. The next prime is 224312131. The reversal of 224312130 is 31213422.

224312130 is a `hidden beast` number, since 22 + 431 + 213 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224312131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18499 + ... + 28121.

It is an arithmetic number, because the mean of its divisors is an integer number (7131384).

Almost surely, 2224312130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342306432).

224312130 is an abundant number, since it is smaller than the sum of its proper divisors (460300734).

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

224312130 is a wasteful number, since it uses less digits than its factorization.

224312130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9680 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 224312130 is about 14977.0534485258. The cubic root of 224312130 is about 607.5997499162.

Adding to 224312130 its reverse (31213422), we get a palindrome (255525552).

The spelling of 224312130 in words is "two hundred twenty-four million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4662 7770 9623 11655 19246 23310 28869 48115 57738 67361 86607 96230 134722 144345 173214 202083 288690 336805 356051 404166 433035 606249 673610 712102 866070 1010415 1068153 1212498 1780255 2020830 2136306 2492357 3031245 3204459 3560510 4984714 5340765 6062490 6408918 7477071 10681530 12461785 14954142 16022295 22431213 24923570 32044590 37385355 44862426 74770710 112156065 224312130