Search a number
-
+
1222225013200 = 24527344819341
BaseRepresentation
bin10001110010010010010…
…010011010100111010000
311022211202221222202112111
4101302102102122213100
5130011104100410300
62333252111435104
7154205606124622
oct21622222324720
94284687882474
101222225013200
1143138517a4a4
12178a60825a94
138b341c411a9
144322811cc12
1521bd5e649ba
hex11c9249a9d0

1222225013200 has 120 divisors (see below), whose sum is σ = 2977603200216. Its totient is φ = 482033664000.

The previous prime is 1222225013147. The next prime is 1222225013237. The reversal of 1222225013200 is 23105222221.

It can be written as a sum of positive squares in 12 ways, for example, as 233799326784 + 988425686416 = 483528^2 + 994196^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130840530 + ... + 130849870.

Almost surely, 21222225013200 is an apocalyptic number.

1222225013200 is a gapful number since it is divisible by the number (10) 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 1222225013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488801600108).

1222225013200 is an abundant number, since it is smaller than the sum of its proper divisors (1755378187016).

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

1222225013200 is a wasteful number, since it uses less digits than its factorization.

1222225013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13913 (or 13902 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 1222225013200 in words is "one trillion, two hundred twenty-two billion, two hundred twenty-five million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 4481 5840 7300 8962 9341 14600 17924 18682 22405 29200 35848 37364 44810 46705 71696 74728 89620 93410 112025 149456 179240 186820 224050 233525 327113 358480 373640 448100 467050 654226 681893 747280 896200 934100 1308452 1363786 1635565 1792400 1868200 2616904 2727572 3271130 3409465 3736400 5233808 5455144 6542260 6818930 8177825 10910288 13084520 13637860 16355650 17047325 26169040 27275720 32711300 34094650 41857021 54551440 65422600 68189300 83714042 130845200 136378600 167428084 209285105 272757200 334856168 418570210 669712336 837140420 1046425525 1674280840 2092851050 3055562533 3348561680 4185702100 6111125066 8371404200 12222250132 15277812665 16742808400 24444500264 30555625330 48889000528 61111250660 76389063325 122222501320 152778126650 244445002640 305556253300 611112506600 1222225013200