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22110032112 = 2437236174637
BaseRepresentation
bin10100100101110111…
…000101000011110000
32010001212221000011020
4110211313011003300
5330240132011422
614053542415440
71411623113010
oct244567050360
963055830136
1022110032112
11941659a413
124350731580
132114898b4c
1410da623c40
1589611595c
hex525dc50f0

22110032112 has 160 divisors (see below), whose sum is σ = 68240489472. Its totient is φ = 6031398912.

The previous prime is 22110032059. The next prime is 22110032117. The reversal of 22110032112 is 21123001122.

It is a junction number, because it is equal to n+sod(n) for n = 22110032091 and 22110032100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22110032117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4765858 + ... + 4770494.

Almost surely, 222110032112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22110032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34120244736).

22110032112 is an abundant number, since it is smaller than the sum of its proper divisors (46130457360).

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

22110032112 is a wasteful number, since it uses less digits than its factorization.

22110032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22110032112 its reverse (21123001122), we get a palindrome (43233033234).

The spelling of 22110032112 in words is "twenty-two billion, one hundred ten million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 617 644 966 1104 1234 1288 1851 1932 2468 2576 3702 3864 4319 4637 4936 7404 7728 8638 9274 9872 12957 13911 14191 14808 17276 18548 25914 27822 28382 29616 32459 34552 37096 42573 51828 55644 56764 64918 69104 74192 85146 97377 99337 103656 106651 111288 113528 129836 170292 194754 198674 207312 213302 222576 227056 259672 298011 319953 340584 389508 397348 426604 519344 596022 639906 681168 746557 779016 794696 853208 1192044 1279812 1493114 1558032 1589392 1706416 2239671 2384088 2559624 2861029 2986228 4479342 4768176 5119248 5722058 5972456 8583087 8958684 11444116 11944912 17166174 17917368 20027203 22888232 34332348 35834736 40054406 45776464 60081609 65803667 68664696 80108812 120163218 131607334 137329392 160217624 197411001 240326436 263214668 320435248 394822002 460625669 480652872 526429336 789644004 921251338 961305744 1052858672 1381877007 1579288008 1842502676 2763754014 3158576016 3685005352 5527508028 7370010704 11055016056 22110032112