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422440704 = 283378731
BaseRepresentation
bin11001001011011…
…110111100000000
31002102220012201000
4121023132330000
51331121100304
6105530212000
713316454360
oct3113367400
91072805630
10422440704
111a7502a54
12b9584000
136969a91a
14401669a0
1527147939
hex192def00

422440704 has 144 divisors (see below), whose sum is σ = 1427856640. Its totient is φ = 120683520.

The previous prime is 422440703. The next prime is 422440717. The reversal of 422440704 is 407044224.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4224407042 = 356912296792031232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422440703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44019 + ... + 52749.

Almost surely, 2422440704 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 422440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713928320).

422440704 is an abundant number, since it is smaller than the sum of its proper divisors (1005415936).

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

422440704 is an equidigital number, since it uses as much as digits as its factorization.

422440704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8763 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 422440704 is about 20553.3623526663. The cubic root of 422440704 is about 750.3350822709.

Adding to 422440704 its reverse (407044224), we get a palindrome (829484928).

The spelling of 422440704 in words is "four hundred twenty-two million, four hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 8731 12096 16128 17462 24192 26193 34924 48384 52386 61117 69848 78579 104772 122234 139696 157158 183351 209544 235737 244468 279392 314316 366702 419088 471474 488936 550053 558784 628632 733404 838176 942948 977872 1100106 1117568 1257264 1466808 1650159 1676352 1885896 1955744 2200212 2235136 2514528 2933616 3300318 3352704 3771792 3911488 4400424 5029056 5867232 6600636 6705408 7543584 7822976 8800848 10058112 11734464 13201272 15087168 15645952 17601696 20116224 23468928 26402544 30174336 35203392 46937856 52805088 60348672 70406784 105610176 140813568 211220352 422440704