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422919224 = 237135397113
BaseRepresentation
bin11001001101010…
…011110000111000
31002110210112002222
4121031103300320
51331231403344
6105544343212
713323516440
oct3115236070
91073715088
10422919224
111a77aa522
12b9774b08
1369807680
144024d120
15271de5ee
hex19353c38

422919224 has 128 divisors (see below), whose sum is σ = 1013523840. Its totient is φ = 161021952.

The previous prime is 422919179. The next prime is 422919229.

422919224 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 205652-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422919229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3742592 + ... + 3742704.

It is an arithmetic number, because the mean of its divisors is an integer number (7918155).

Almost surely, 2422919224 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 422919224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506761920).

422919224 is an abundant number, since it is smaller than the sum of its proper divisors (590604616).

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

422919224 is a wasteful number, since it uses less digits than its factorization.

422919224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 422919224 is about 20564.9999756868. Note that the first 4 decimals coincide. The cubic root of 422919224 is about 750.6182895580.

It can be divided in two parts, 42291 and 9224, that added together give a palindrome (51515).

The spelling of 422919224 in words is "four hundred twenty-two million, nine hundred nineteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 97 104 106 113 182 194 212 226 364 371 388 424 452 679 689 728 742 776 791 904 1261 1358 1378 1469 1484 1582 2522 2716 2756 2938 2968 3164 4823 5044 5141 5432 5512 5876 5989 6328 8827 9646 10088 10282 10283 10961 11752 11978 17654 19292 20564 20566 21922 23956 35308 35987 38584 41128 41132 41923 43844 47912 66833 70616 71974 76727 77857 82264 83846 87688 133666 142493 143948 153454 155714 167692 267332 284986 287896 306908 311428 335384 467831 534664 544999 569972 580933 613816 622856 935662 997451 1089998 1139944 1161866 1871324 1994902 2179996 2323732 3742648 3989804 4066531 4359992 4647464 7552129 7979608 8133062 15104258 16266124 30208516 32532248 52864903 60417032 105729806 211459612 422919224