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22133221213240 = 23525713421160423
BaseRepresentation
bin1010000100001010010101…
…10010011100010000111000
32220100220201020112012002201
411002011022302130100320
510400112314112310430
6115023510024035544
74443033566115364
oct502051262342070
986326636465081
1022133221213240
1170637123aa155
122595697002bb4
13c471ccba7b67
14567379d242a4
15285b088b58ca
hex14214ac9c438

22133221213240 has 64 divisors (see below), whose sum is σ = 49997557748160. Its totient is φ = 8818127831040.

The previous prime is 22133221213219. The next prime is 22133221213273. The reversal of 22133221213240 is 4231212233122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22133221213199 and 22133221213208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137887669 + ... + 138048091.

It is an arithmetic number, because the mean of its divisors is an integer number (781211839815).

Almost surely, 222133221213240 is an apocalyptic number.

22133221213240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133221213240 is an abundant number, since it is smaller than the sum of its proper divisors (27864336534920).

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

22133221213240 is a wasteful number, since it uses less digits than its factorization.

22133221213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174112 (or 174108 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 22133221213240 its reverse (4231212233122), we get a palindrome (26364433446362).

The spelling of 22133221213240 in words is "twenty-two trillion, one hundred thirty-three billion, two hundred twenty-one million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 257 514 1028 1285 2056 2570 5140 10280 13421 26842 53684 67105 107368 134210 160423 268420 320846 536840 641692 802115 1283384 1604230 3208460 3449197 6416920 6898394 13796788 17245985 27593576 34491970 41228711 68983940 82457422 137967880 164914844 206143555 329829688 412287110 824574220 1649148440 2153037083 4306074166 8612148332 10765185415 17224296664 21530370830 43060741660 86121483320 553330530331 1106661060662 2213322121324 2766652651655 4426644242648 5533305303310 11066610606620 22133221213240