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22122102210 = 23513176749801
BaseRepresentation
bin10100100110100101…
…000111110111000010
32010002201122020012220
4110212211013313002
5330301224232320
614055053231510
71412130523545
oct244645076702
963081566186
1022122102210
1194223938aa
124354792596
132117233a10
1410dc08685c
158971ebe40
hex526947dc2

22122102210 has 128 divisors (see below), whose sum is σ = 61445309184. Its totient is φ = 5048524800.

The previous prime is 22122102139. The next prime is 22122102217. The reversal of 22122102210 is 1220122122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22122102210.

It is not an unprimeable number, because it can be changed into a prime (22122102217) by changing a digit.

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, 419310 + ... + 469110.

It is an arithmetic number, because the mean of its divisors is an integer number (480041478).

Almost surely, 222122102210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30722654592).

22122102210 is an abundant number, since it is smaller than the sum of its proper divisors (39323206974).

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

22122102210 is a wasteful number, since it uses less digits than its factorization.

22122102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49908.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22122102210 its reverse (1220122122), we get a palindrome (23342224332).

The spelling of 22122102210 in words is "twenty-two billion, one hundred twenty-two million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 67 78 85 102 130 134 170 195 201 221 255 335 390 402 442 510 663 670 871 1005 1105 1139 1326 1742 2010 2210 2278 2613 3315 3417 4355 5226 5695 6630 6834 8710 11390 13065 14807 17085 26130 29614 34170 44421 49801 74035 88842 99602 148070 149403 222105 249005 298806 444210 498010 647413 747015 846617 1294826 1494030 1693234 1942239 2539851 3237065 3336667 3884478 4233085 5079702 6474130 6673334 8466170 9711195 10010001 11006021 12699255 16683335 19422390 20020002 22012042 25398510 33018063 33366670 43376671 50050005 55030105 56723339 66036126 86753342 100100010 110060210 113446678 130130013 165090315 170170017 216883355 260260026 283616695 330180630 340340034 433766710 567233390 650650065 737403407 850850085 1301300130 1474806814 1701700170 2212210221 3687017035 4424420442 7374034070 11061051105 22122102210