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22120254040 = 2355916357503
BaseRepresentation
bin10100100110011110…
…000100101001011000
32010002121011100000011
4110212132010221120
5330300241112130
614054545451304
71412106025363
oct244636045130
963077140004
1022120254040
119421341295
124354040b34
132116a37721
1410dbb250da
15896e8452a
hex526784a58

22120254040 has 64 divisors (see below), whose sum is σ = 50925542400. Its totient is φ = 8644620672.

The previous prime is 22120254029. The next prime is 22120254047. The reversal of 22120254040 is 4045202122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120254047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355929 + ... + 413431.

It is an arithmetic number, because the mean of its divisors is an integer number (795711600).

Almost surely, 222120254040 is an apocalyptic number.

22120254040 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 22120254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25462771200).

22120254040 is an abundant number, since it is smaller than the sum of its proper divisors (28805288360).

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

22120254040 is a wasteful number, since it uses less digits than its factorization.

22120254040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57736 (or 57732 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 22120254040 its reverse (4045202122), we get a palindrome (26165456162).

The spelling of 22120254040 in words is "twenty-two billion, one hundred twenty million, two hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 163 236 295 326 472 590 652 815 1180 1304 1630 2360 3260 6520 9617 19234 38468 48085 57503 76936 96170 115006 192340 230012 287515 384680 460024 575030 1150060 2300120 3392677 6785354 9372989 13570708 16963385 18745978 27141416 33926770 37491956 46864945 67853540 74983912 93729890 135707080 187459780 374919560 553006351 1106012702 2212025404 2765031755 4424050808 5530063510 11060127020 22120254040