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422111300 = 225213224977
BaseRepresentation
bin11001001010001…
…110100001000100
31002102021110211212
4121022032201010
51331030030200
6105515150552
713313613122
oct3112164104
91072243755
10422111300
111a72a8516
12b9445458
13695b3a00
14400bc912
15270d0035
hex1928e844

422111300 has 54 divisors (see below), whose sum is σ = 991901358. Its totient is φ = 155850240.

The previous prime is 422111279. The next prime is 422111317. The reversal of 422111300 is 3111224.

It can be written as a sum of positive squares in 9 ways, for example, as 380328004 + 41783296 = 19502^2 + 6464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4412 + ... + 29388.

Almost surely, 2422111300 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 422111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495950679).

422111300 is an abundant number, since it is smaller than the sum of its proper divisors (569790058).

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

422111300 is a wasteful number, since it uses less digits than its factorization.

422111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25017 (or 24997 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 422111300 is about 20545.3474051913. The cubic root of 422111300 is about 750.1400034934.

Adding to 422111300 its reverse (3111224), we get a palindrome (425222524).

The spelling of 422111300 in words is "four hundred twenty-two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 24977 49954 99908 124885 249770 324701 499540 624425 649402 1248850 1298804 1623505 2497700 3247010 4221113 6494020 8117525 8442226 16235050 16884452 21105565 32470100 42211130 84422260 105527825 211055650 422111300