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22113106600 = 23521310977753
BaseRepresentation
bin10100100110000010…
…110011101010101000
32010002002201012120011
4110212002303222220
5330241423402400
614054132341304
71411661206354
oct244602635250
963062635504
1022113106600
1194182aa312
124351774834
132115404380
1410dabc4464
158965218ba
hex5260b3aa8

22113106600 has 96 divisors (see below), whose sum is σ = 55425436920. Its totient is φ = 8156344320.

The previous prime is 22113106597. The next prime is 22113106667. The reversal of 22113106600 is 660131122.

It can be written as a sum of positive squares in 12 ways, for example, as 1964439684 + 20148666916 = 44322^2 + 141946^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2848324 + ... + 2856076.

Almost surely, 222113106600 is an apocalyptic number.

22113106600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22113106600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27712718460).

22113106600 is an abundant number, since it is smaller than the sum of its proper divisors (33312330320).

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

22113106600 is a wasteful number, since it uses less digits than its factorization.

22113106600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879 (or 8870 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 22113106600 its reverse (660131122), we get a palindrome (22773237722).

The spelling of 22113106600 in words is "twenty-two billion, one hundred thirteen million, one hundred six thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1097 1300 2194 2600 4388 5485 7753 8776 10970 14261 15506 21940 27425 28522 31012 38765 43880 54850 57044 62024 71305 77530 100789 109700 114088 142610 155060 193825 201578 219400 285220 310120 356525 387650 403156 503945 570440 713050 775300 806312 1007890 1426100 1550600 2015780 2519725 2852200 4031560 5039450 8505041 10078900 17010082 20157800 34020164 42525205 68040328 85050410 110565533 170100820 212626025 221131066 340201640 425252050 442262132 552827665 850504100 884524264 1105655330 1701008200 2211310660 2764138325 4422621320 5528276650 11056553300 22113106600