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22002212022 = 237172310331297
BaseRepresentation
bin10100011111011011…
…110001110010110110
32002210101001011210120
4110133123301302312
5330030031241042
614035131432410
71406143500510
oct243733616266
962711034716
1022002212022
1193707475aa
1243205b5706
1320c8447a8b
1410ca198bb0
1588b918dec
hex51f6f1cb6

22002212022 has 128 divisors (see below), whose sum is σ = 55660898304. Its totient is φ = 5649481728.

The previous prime is 22002211961. The next prime is 22002212051. The reversal of 22002212022 is 22021220022.

It is a super-2 number, since 2×220022120222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22002211992 and 22002212010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16963278 + ... + 16964574.

It is an arithmetic number, because the mean of its divisors is an integer number (434850768).

Almost surely, 222002212022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27830449152).

22002212022 is an abundant number, since it is smaller than the sum of its proper divisors (33658686282).

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

22002212022 is a wasteful number, since it uses less digits than its factorization.

22002212022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382.

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

Adding to 22002212022 its reverse (22021220022), we get a palindrome (44023432044).

The spelling of 22002212022 in words is "twenty-two billion, two million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 714 782 966 1033 1173 1297 2066 2346 2594 2737 3099 3891 5474 6198 7231 7782 8211 9079 14462 16422 17561 18158 21693 22049 23759 27237 29831 35122 43386 44098 47518 52683 54474 59662 66147 71277 89493 105366 122927 132294 142554 154343 166313 178986 208817 245854 308686 332626 368781 403903 417634 463029 498939 507127 626451 737562 807806 926058 997878 1014254 1211709 1252902 1339801 1521381 2423418 2679602 2827321 3042762 3549889 4019403 5654642 7099778 8038806 8481963 9378607 10649667 16963926 18757214 21299334 22776617 28135821 30815423 45553234 56271642 61630846 68329851 92446269 136659702 159436319 184892538 215707961 318872638 431415922 478308957 523862191 647123883 956617914 1047724382 1294247766 1571586573 3143173146 3667035337 7334070674 11001106011 22002212022