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224142200442 = 23219269149919
BaseRepresentation
bin1101000010111111101…
…0101000111001111010
3210102112212002112112100
43100233322220321322
512133020400403232
6250545225124230
722123311161016
oct3205772507172
9712485075470
10224142200442
1187070479776
1237534929676
13181a0c16294
14abc4575546
155c6cba3c7c
hex342fea8e7a

224142200442 has 72 divisors (see below), whose sum is σ = 513298805760. Its totient is φ = 70677897840.

The previous prime is 224142200441. The next prime is 224142200509. The reversal of 224142200442 is 244002241422.

224142200442 is a `hidden beast` number, since 2 + 2 + 4 + 14 + 2 + 200 + 442 = 666.

It is not an unprimeable number, because it can be changed into a prime (224142200441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4465159 + ... + 4515077.

It is an arithmetic number, because the mean of its divisors is an integer number (7129150080).

Almost surely, 2224142200442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224142200442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256649402880).

224142200442 is an abundant number, since it is smaller than the sum of its proper divisors (289156605318).

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

224142200442 is a wasteful number, since it uses less digits than its factorization.

224142200442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50656 (or 50634 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 224142200442 its reverse (244002241422), we get a palindrome (468144441864).

The spelling of 224142200442 in words is "two hundred twenty-four billion, one hundred forty-two million, two hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 691 722 1083 1382 2073 2166 3249 4146 6219 6498 12438 13129 26258 39387 49919 78774 99838 118161 149757 236322 249451 299514 449271 498902 748353 898542 948461 1496706 1896922 2245059 2845383 4490118 5690766 8536149 17072298 18020759 34494029 36041518 54062277 68988058 103482087 108124554 162186831 206964174 310446261 324373662 620892522 655386551 1310773102 1966159653 3932319306 5898478959 11796957918 12452344469 24904688938 37357033407 74714066814 112071100221 224142200442