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22242240310240 = 2551230831129433
BaseRepresentation
bin1010000111010101011001…
…10101010010101111100000
32220202100002222012010112001
411003222230311102233200
510403404102004411430
6115145535533413344
74453643310133336
oct503525465225740
986670088163461
1022242240310240
1170a597688a325
1225b284133a254
13c545850c2c92
1456c75cb2bb56
152888898003ca
hex143aacd52be0

22242240310240 has 48 divisors (see below), whose sum is σ = 52547766184368. Its totient is φ = 8896815963136.

The previous prime is 22242240310193. The next prime is 22242240310247. The reversal of 22242240310240 is 4201304224222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22242240310199 and 22242240310208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22242240310247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19128564 + ... + 20257996.

It is an arithmetic number, because the mean of its divisors is an integer number (1094745128841).

Almost surely, 222242240310240 is an apocalyptic number.

22242240310240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22242240310240 is an abundant number, since it is smaller than the sum of its proper divisors (30305525874128).

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

22242240310240 is a wasteful number, since it uses less digits than its factorization.

22242240310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252531 (or 1252523 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22242240310240 its reverse (4201304224222), we get a palindrome (26443544534462).

The spelling of 22242240310240 in words is "twenty-two trillion, two hundred forty-two billion, two hundred forty million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 123083 246166 492332 615415 984664 1129433 1230830 1969328 2258866 2461660 3938656 4517732 4923320 5647165 9035464 9846640 11294330 18070928 19693280 22588660 36141856 45177320 90354640 180709280 139014001939 278028003878 556056007756 695070009695 1112112015512 1390140019390 2224224031024 2780280038780 4448448062048 5560560077560 11121120155120 22242240310240