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22211012010 = 235111011315087
BaseRepresentation
bin10100101011111000…
…010010010110101010
32010022220221022112110
4110223320102112222
5330442004341020
614111551023150
71414260326025
oct245370222652
963286838473
1022211012010
1194685a0080
12437a50aab6
13212c793675
141109bcc1bc
1589ee108e0
hex52be125aa

22211012010 has 128 divisors (see below), whose sum is σ = 59188174848. Its totient is φ = 5289440000.

The previous prime is 22211011997. The next prime is 22211012059. The reversal of 22211012010 is 1021011222.

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 63 ways as a sum of consecutive naturals, for example, 4363687 + ... + 4368773.

It is an arithmetic number, because the mean of its divisors is an integer number (462407616).

Almost surely, 222211012010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22211012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29594087424).

22211012010 is an abundant number, since it is smaller than the sum of its proper divisors (36977162838).

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

22211012010 is a wasteful number, since it uses less digits than its factorization.

22211012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22211012010 its reverse (1021011222), we get a palindrome (23232023232).

The spelling of 22211012010 in words is "twenty-two billion, two hundred eleven million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 131 165 202 262 303 330 393 505 606 655 786 1010 1111 1310 1441 1515 1965 2222 2882 3030 3333 3930 4323 5087 5555 6666 7205 8646 10174 11110 13231 14410 15261 16665 21615 25435 26462 30522 33330 39693 43230 50870 55957 66155 76305 79386 111914 132310 145541 152610 167871 198465 279785 291082 335742 396930 436623 513787 559570 666397 727705 839355 873246 1027574 1332794 1455410 1541361 1678710 1999191 2183115 2568935 3082722 3331985 3998382 4366230 5137870 5651657 6663970 7330367 7706805 9995955 11303314 14660734 15413610 16954971 19991910 21991101 28258285 33909942 36651835 43982202 56516570 67306097 73303670 84774855 109955505 134612194 169549710 201918291 219911010 336530485 403836582 673060970 740367067 1009591455 1480734134 2019182910 2221101201 3701835335 4442202402 7403670670 11105506005 22211012010