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2122010022 = 23111941149277
BaseRepresentation
bin111111001111011…
…0100110110100110
312110212221021111210
41332132310312212
513321213310042
6550322012250
7103404534066
oct17636646646
95425837453
102122010022
119999015a0
124b27a7086
1327a826142
14161b793a6
15c6463a9c
hex7e7b4da6

2122010022 has 128 divisors (see below), whose sum is σ = 5044032000. Its totient is φ = 588211200.

The previous prime is 2122009999. The next prime is 2122010029. The reversal of 2122010022 is 2200102212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122010029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7660548 + ... + 7660824.

It is an arithmetic number, because the mean of its divisors is an integer number (39406500).

Almost surely, 22122010022 is an apocalyptic number.

2122010022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522016000).

2122010022 is an abundant number, since it is smaller than the sum of its proper divisors (2922021978).

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

2122010022 is a wasteful number, since it uses less digits than its factorization.

2122010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2122010022 is about 46065.2800056615. The cubic root of 2122010022 is about 1285.0375259926.

Adding to 2122010022 its reverse (2200102212), we get a palindrome (4322112234).

The spelling of 2122010022 in words is "two billion, one hundred twenty-two million, ten thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 41 57 66 82 114 123 149 209 246 277 298 418 447 451 554 627 779 831 894 902 1254 1353 1558 1639 1662 2337 2706 2831 3047 3278 4674 4917 5263 5662 6094 6109 8493 8569 9141 9834 10526 11357 12218 15789 16986 17138 18282 18327 22714 25707 31141 31578 34071 36654 41273 51414 57893 62282 67199 68142 82546 93423 115786 116071 123819 124927 134398 173679 186846 201597 215783 232142 247638 249854 347358 348213 374781 403194 431566 454003 647349 696426 749562 784187 908006 1276781 1294698 1362009 1568374 1692193 2352561 2373613 2553562 2724018 3384386 3830343 4705122 4747226 5076579 7120839 7660686 8626057 10153158 14241678 17252114 18614123 25878171 32151667 37228246 51756342 55842369 64303334 96455001 111684738 192910002 353668337 707336674 1061005011 2122010022