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22132240020 = 223251128139779
BaseRepresentation
bin10100100111001011…
…110010111010010100
32010010102201021200100
4110213023302322110
5330311323140040
614100054414100
71412312636052
oct244713627224
963112637610
1022132240020
119428088560
124358061330
132119373217
1410dd5651d2
15898050b30
hex5272f2e94

22132240020 has 144 divisors (see below), whose sum is σ = 73500073920. Its totient is φ = 5346163200.

The previous prime is 22132240019. The next prime is 22132240043. The reversal of 22132240020 is 2004223122.

22132240020 is a `hidden beast` number, since 221 + 3 + 22 + 400 + 20 = 666.

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 = 22132239975 and 22132240002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536491 + ... + 576269.

It is an arithmetic number, because the mean of its divisors is an integer number (510417180).

Almost surely, 222132240020 is an apocalyptic number.

22132240020 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 22132240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36750036960).

22132240020 is an abundant number, since it is smaller than the sum of its proper divisors (51367833900).

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

22132240020 is a wasteful number, since it uses less digits than its factorization.

22132240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40086 (or 40081 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22132240020 its reverse (2004223122), we get a palindrome (24136463142).

The spelling of 22132240020 in words is "twenty-two billion, one hundred thirty-two million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 281 330 396 495 562 660 843 990 1124 1405 1686 1980 2529 2810 3091 3372 4215 5058 5620 6182 8430 9273 10116 12364 12645 15455 16860 18546 25290 27819 30910 37092 39779 46365 50580 55638 61820 79558 92730 111276 119337 139095 159116 185460 198895 238674 278190 358011 397790 437569 477348 556380 596685 716022 795580 875138 1193370 1312707 1432044 1750276 1790055 2187845 2386740 2625414 3580110 3938121 4375690 5250828 6563535 7160220 7876242 8751380 11177899 13127070 15752484 19690605 22355798 26254140 33533697 39381210 44711596 55889495 67067394 78762420 100601091 111778990 122956889 134134788 167668485 201202182 223557980 245913778 335336970 368870667 402404364 491827556 503005455 614784445 670673940 737741334 1006010910 1106612001 1229568890 1475482668 1844353335 2012021820 2213224002 2459137780 3688706670 4426448004 5533060005 7377413340 11066120010 22132240020