Search a number
-
+
22213250033400 = 2333524113564821
BaseRepresentation
bin1010000110011111011001…
…11000001010011011111000
32220122120021120212110221000
411003033230320022123320
510402420214002032100
6115124343131245000
74451566020632646
oct503175470123370
986576246773830
1022213250033400
11709464a600248
1225a90b05a9760
13c51914c9090a
1456b1ac842196
15287c3e678900
hex1433ece0a6f8

22213250033400 has 96 divisors (see below), whose sum is σ = 76512305689200. Its totient is φ = 5923533340800.

The previous prime is 22213250033393. The next prime is 22213250033413. The reversal of 22213250033400 is 433005231222.

22213250033400 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 3 + 250 + 0 + 3 + 3 + 400 = 666.

It is a super-2 number, since 2×222132500334002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2056777011 + ... + 2056787810.

Almost surely, 222213250033400 is an apocalyptic number.

22213250033400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22213250033400 is an abundant number, since it is smaller than the sum of its proper divisors (54299055655800).

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

22213250033400 is a wasteful number, since it uses less digits than its factorization.

22213250033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113564846 (or 4113564831 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 22213250033400 its reverse (433005231222), we get a palindrome (22646255264622).

The spelling of 22213250033400 in words is "twenty-two trillion, two hundred thirteen billion, two hundred fifty million, thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 4113564821 8227129642 12340694463 16454259284 20567824105 24681388926 32908518568 37022083389 41135648210 49362777852 61703472315 74044166778 82271296420 98725555704 102839120525 111066250167 123406944630 148088333556 164542592840 185110416945 205678241050 222132500334 246813889260 296176667112 308517361575 370220833890 411356482100 444265000668 493627778520 555331250835 617034723150 740441667780 822712964200 888530001336 925552084725 1110662501670 1234069446300 1480883335560 1851104169450 2221325003340 2468138892600 2776656254175 3702208338900 4442650006680 5553312508350 7404416677800 11106625016700 22213250033400