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13222222000 = 245313239119
BaseRepresentation
bin11000101000001101…
…10001100010110000
31021010110221110201221
430110012301202300
5204034342101000
610024010034424
7645442014121
oct142406614260
937113843657
1013222222000
1156756660a9
122690118a14
131329439900
148d6094048
15525bea61a
hex3141b18b0

13222222000 has 120 divisors (see below), whose sum is σ = 34620730560. Its totient is φ = 4881926400.

The previous prime is 13222221997. The next prime is 13222222003. The reversal of 13222222000 is 22222231.

It is an interprime number because it is at equal distance from previous prime (13222221997) and next prime (13222222003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13222222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318441 + ... + 357559.

It is an arithmetic number, because the mean of its divisors is an integer number (288506088).

Almost surely, 213222222000 is an apocalyptic number.

13222222000 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 13222222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310365280).

13222222000 is an abundant number, since it is smaller than the sum of its proper divisors (21398508560).

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

13222222000 is a wasteful number, since it uses less digits than its factorization.

13222222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39168 (or 39139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 13222222000 its reverse (22222231), we get a palindrome (13244444231).

The spelling of 13222222000 in words is "thirteen billion, two hundred twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 169 200 208 250 260 325 338 400 500 520 650 676 845 1000 1040 1300 1352 1625 1690 2000 2600 2704 3250 3380 4225 5200 6500 6760 8450 13000 13520 16900 21125 26000 33800 39119 42250 67600 78238 84500 156476 169000 195595 312952 338000 391190 508547 625904 782380 977975 1017094 1564760 1955950 2034188 2542735 3129520 3911900 4068376 4889875 5085470 6611111 7823800 8136752 9779750 10170940 12713675 13222222 15647600 19559500 20341880 25427350 26444444 33055555 39119000 40683760 50854700 52888888 63568375 66111110 78238000 101709400 105777776 127136750 132222220 165277775 203418800 254273500 264444440 330555550 508547000 528888880 661111100 826388875 1017094000 1322222200 1652777750 2644444400 3305555500 6611111000 13222222000