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2022220122 = 23131923411447
BaseRepresentation
bin111100010001000…
…1010000101011010
312012221011102111120
41320202022011122
513120142020442
6532355110110
7101053405326
oct17042120532
95187142446
102022220122
119485439aa
124852a2336
13262c57170
14152800986
15bc8014ec
hex7888a15a

2022220122 has 128 divisors (see below), whose sum is σ = 4904202240. Its totient is φ = 549711360.

The previous prime is 2022220097. The next prime is 2022220127. The reversal of 2022220122 is 2210222202.

It is not an unprimeable number, because it can be changed into a prime (2022220127) 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 63 ways as a sum of consecutive naturals, for example, 1396803 + ... + 1398249.

It is an arithmetic number, because the mean of its divisors is an integer number (38314080).

Almost surely, 22022220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452101120).

2022220122 is an abundant number, since it is smaller than the sum of its proper divisors (2881982118).

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

2022220122 is a wasteful number, since it uses less digits than its factorization.

2022220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2022220122 is about 44969.1018589431. The cubic root of 2022220122 is about 1264.5698094043.

Adding to 2022220122 its reverse (2210222202), we get a palindrome (4232442324).

The spelling of 2022220122 in words is "two billion, twenty-two million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 19 23 26 38 39 41 46 57 69 78 82 114 123 138 246 247 299 437 494 533 598 741 779 874 897 943 1066 1311 1447 1482 1558 1599 1794 1886 2337 2622 2829 2894 3198 4341 4674 5658 5681 8682 10127 11362 12259 17043 17917 18811 20254 24518 27493 30381 33281 34086 35834 36777 37622 53751 54986 56433 59327 60762 66562 73554 82479 99843 107502 112866 118654 164958 177981 199686 232921 355962 357409 432653 465842 632339 698763 714818 771251 865306 1072227 1127213 1264678 1297959 1364521 1397526 1542502 1897017 2144454 2254426 2313753 2595918 2729042 3381639 3794034 4093563 4627506 6763278 8187126 8220407 14653769 16440814 17738773 24661221 25925899 29307538 35477546 43961307 49322442 51851798 53216319 77777697 87922614 106432638 155555394 337036687 674073374 1011110061 2022220122