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1422221024 = 25721130091
BaseRepresentation
bin101010011000101…
…0101111011100000
310200010011022110202
41110301111323200
510403042033044
6353043044332
750146451660
oct12461257340
93603138422
101422221024
1166a896784
123383706a8
1319885bb03
14d6c581a0
1584cd3c4e
hex54c55ee0

1422221024 has 48 divisors (see below), whose sum is σ = 3215270016. Its totient is φ = 606614400.

The previous prime is 1422221011. The next prime is 1422221083. The reversal of 1422221024 is 4201222241.

It is a super-3 number, since 3×14222210243 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1422220987 and 1422221005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32219 + ... + 62309.

It is an arithmetic number, because the mean of its divisors is an integer number (66984792).

Almost surely, 21422221024 is an apocalyptic number.

1422221024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607635008).

1422221024 is an abundant number, since it is smaller than the sum of its proper divisors (1793048992).

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

1422221024 is a wasteful number, since it uses less digits than its factorization.

1422221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30319 (or 30311 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1422221024 is about 37712.3457769468. The cubic root of 1422221024 is about 1124.5765712502.

Adding to 1422221024 its reverse (4201222241), we get a palindrome (5623443265).

The spelling of 1422221024 in words is "one billion, four hundred twenty-two million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 211 224 422 844 1477 1688 2954 3376 5908 6752 11816 23632 30091 47264 60182 120364 210637 240728 421274 481456 842548 962912 1685096 3370192 6349201 6740384 12698402 25396804 44444407 50793608 88888814 101587216 177777628 203174432 355555256 711110512 1422221024