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22342223440440 = 23325611017405439
BaseRepresentation
bin1010001010001111101000…
…10010101010101000111000
32221002220011222002101202100
411011013310102222220320
510412023333200043230
6115303513055103400
74464113060540631
oct505076422525070
987086158071670
1022342223440440
117134313742942
12260a0a5511b60
13c60b2a276c97
1457352583a888
1528b28c306660
hex1451f44aaa38

22342223440440 has 96 divisors (see below), whose sum is σ = 73802590617600. Its totient is φ = 5860255322880.

The previous prime is 22342223440417. The next prime is 22342223440531. The reversal of 22342223440440 is 4404432224322.

22342223440440 is a `hidden beast` number, since 2 + 2 + 342 + 2 + 234 + 40 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22342223440395 and 22342223440404.

It is a congruent number.

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, 508680760 + ... + 508724679.

It is an arithmetic number, because the mean of its divisors is an integer number (768776985600).

Almost surely, 222342223440440 is an apocalyptic number.

22342223440440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22342223440440 is an abundant number, since it is smaller than the sum of its proper divisors (51460367177160).

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

22342223440440 is a wasteful number, since it uses less digits than its factorization.

22342223440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017405517 (or 1017405510 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 22342223440440 its reverse (4404432224322), we get a palindrome (26746655664762).

The spelling of 22342223440440 in words is "twenty-two trillion, three hundred forty-two billion, two hundred twenty-three million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 1017405439 2034810878 3052216317 4069621756 5087027195 6104432634 8139243512 9156648951 10174054390 12208865268 15261081585 18313297902 20348108780 24417730536 30522163170 36626595804 40696217560 45783244755 61044326340 62061731779 73253191608 91566489510 122088652680 124123463558 183132979020 186185195337 248246927116 310308658895 366265958040 372370390674 496493854232 558555586011 620617317790 744740781348 930925976685 1117111172022 1241234635580 1489481562696 1861851953370 2234222344044 2482469271160 2792777930055 3723703906740 4468444688088 5585555860110 7447407813480 11171111720220 22342223440440