Search a number
-
+
422120402200 = 235271021295313
BaseRepresentation
bin1100010010010000101…
…01100010110100011000
31111100120022000020020101
412021020111202310120
523404000310332300
6521530333105144
742332352134350
oct6111025426430
91440508006211
10422120402200
11153024a64a32
12699873281b4
1330a623c8323
1416605d25b60
15aea88abb6a
hex6248562d18

422120402200 has 96 divisors (see below), whose sum is σ = 1122736577760. Its totient is φ = 144584755200.

The previous prime is 422120402189. The next prime is 422120402201. The reversal of 422120402200 is 2204021224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422120402201) 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, 1281744 + ... + 1577056.

It is an arithmetic number, because the mean of its divisors is an integer number (11695172685).

Almost surely, 2422120402200 is an apocalyptic number.

422120402200 is a gapful number since it is divisible by the number (40) 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 422120402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561368288880).

422120402200 is an abundant number, since it is smaller than the sum of its proper divisors (700616175560).

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

422120402200 is a wasteful number, since it uses less digits than its factorization.

422120402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296357 (or 296348 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 422120402200 its reverse (2204021224), we get a palindrome (424324423424).

The spelling of 422120402200 in words is "four hundred twenty-two billion, one hundred twenty million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1021 1400 2042 4084 5105 7147 8168 10210 14294 20420 25525 28588 35735 40840 51050 57176 71470 102100 142940 178675 204200 285880 295313 357350 590626 714700 1181252 1429400 1476565 2067191 2362504 2953130 4134382 5906260 7382825 8268764 10335955 11812520 14765650 16537528 20671910 29531300 41343820 51679775 59062600 82687640 103359550 206719100 301514573 413438200 603029146 1206058292 1507572865 2110602011 2412116584 3015145730 4221204022 6030291460 7537864325 8442408044 10553010055 12060582920 15075728650 16884816088 21106020110 30151457300 42212040220 52765050275 60302914600 84424080440 105530100550 211060201100 422120402200