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224421142204 = 22729312287597
BaseRepresentation
bin1101000100000010001…
…0101101111010111100
3210110021021222020200201
43101000202231322330
512134103303022304
6251033031533244
722133236143220
oct3210042557274
9713237866621
10224421142204
11871a397a856
12375b222a224
131821695008c
14ac0d626780
155c874033a4
hex34408adebc

224421142204 has 72 divisors (see below), whose sum is σ = 479782487520. Its totient is φ = 89867998080.

The previous prime is 224421142201. The next prime is 224421142247. The reversal of 224421142204 is 402241124422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224421142201) 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, 636534 + ... + 924130.

It is an arithmetic number, because the mean of its divisors is an integer number (6663645660).

Almost surely, 2224421142204 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 224421142204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239891243760).

224421142204 is an abundant number, since it is smaller than the sum of its proper divisors (255361345316).

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

224421142204 is a wasteful number, since it uses less digits than its factorization.

224421142204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287699 (or 287666 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 224421142204 its reverse (402241124422), we get a palindrome (626662266626).

The spelling of 224421142204 in words is "two hundred twenty-four billion, four hundred twenty-one million, one hundred forty-two thousand, two hundred four".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 203 217 406 434 812 868 899 961 1798 1922 3596 3844 6293 6727 12586 13454 25172 26908 27869 55738 111476 195083 287597 390166 575194 780332 1150388 2013179 4026358 8052716 8340313 8915507 16680626 17831014 33361252 35662028 58382191 62408549 116764382 124817098 233528764 249634196 258549703 276380717 517099406 552761434 1034198812 1105522868 1809847921 1934665019 3619695842 3869330038 7239391684 7738660076 8015040793 16030081586 32060163172 56105285551 112210571102 224421142204