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22001332122 = 23272115342787
BaseRepresentation
bin10100011111011000…
…011010111110011010
32002210022101110210200
4110133120122332122
5330024320111442
614035100523030
71406133144300
oct243730327632
962708343720
1022001332122
1193701a6510
124320250476
1320c81ca423
1410ca00a270
1588b7e334c
hex51f61af9a

22001332122 has 144 divisors (see below), whose sum is σ = 61636285152. Its totient is φ = 5606677440.

The previous prime is 22001332079. The next prime is 22001332123. The reversal of 22001332122 is 22123310022.

22001332122 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22001332095 and 22001332104.

It is not an unprimeable number, because it can be changed into a prime (22001332123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 492813 + ... + 535599.

It is an arithmetic number, because the mean of its divisors is an integer number (428029758).

Almost surely, 222001332122 is an apocalyptic number.

22001332122 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 22001332122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30818142576).

22001332122 is an abundant number, since it is smaller than the sum of its proper divisors (39634953030).

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

22001332122 is a wasteful number, since it uses less digits than its factorization.

22001332122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42873 (or 42863 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22001332122 its reverse (22123310022), we get a palindrome (44124642144).

The spelling of 22001332122 in words is "twenty-two billion, one million, three hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 53 63 66 77 98 99 106 126 147 154 159 198 231 294 318 371 441 462 477 539 583 693 742 882 954 1078 1113 1166 1386 1617 1749 2226 2597 3234 3339 3498 4081 4851 5194 5247 6678 7791 8162 9702 10494 12243 15582 23373 24486 28567 36729 42787 46746 57134 73458 85574 85701 128361 171402 256722 257103 299509 385083 470657 514206 599018 770166 898527 941314 1411971 1797054 2096563 2267711 2695581 2823942 3294599 4193126 4235913 4535422 5391162 6289689 6589198 6803133 8471826 9883797 12579378 13606266 15873977 18869067 19767594 20409399 23062193 24944821 29651391 31747954 37738134 40818798 46124386 47621931 49889642 59302782 69186579 74834463 95243862 111117839 138373158 142865793 149668926 174613747 207559737 222235678 224503389 285731586 333353517 349227494 415119474 449006778 523841241 666707034 1000060551 1047682482 1222296229 1571523723 2000121102 2444592458 3143047446 3666888687 7333777374 11000666061 22001332122