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22011232240 = 245976834153
BaseRepresentation
bin10100011111111110…
…001011111111110000
32002211000000110012201
4110133332023333300
5330034333412430
614040053032544
71406313246514
oct243776137760
962730013181
1022011232240
119375848628
124323625754
1320ca28569a
1410cb466144
1588c5eb8ca
hex51ff8bff0

22011232240 has 80 divisors (see below), whose sum is σ = 51791872608. Its totient is φ = 8698871808.

The previous prime is 22011232237. The next prime is 22011232249. The reversal of 22011232240 is 4223211022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011232249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5298004 + ... + 5302156.

Almost surely, 222011232240 is an apocalyptic number.

22011232240 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 22011232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25895936304).

22011232240 is an abundant number, since it is smaller than the sum of its proper divisors (29780640368).

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

22011232240 is a wasteful number, since it uses less digits than its factorization.

22011232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22011232240 its reverse (4223211022), we get a palindrome (26234443262).

The spelling of 22011232240 in words is "twenty-two billion, eleven million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 683 776 970 1366 1552 1940 2732 3415 3880 4153 5464 6830 7760 8306 10928 13660 16612 20765 27320 33224 41530 54640 66251 66448 83060 132502 166120 265004 331255 332240 402841 530008 662510 805682 1060016 1325020 1611364 2014205 2650040 2836499 3222728 4028410 5300080 5672998 6445456 8056820 11345996 14182495 16113640 22691992 28364990 32227280 45383984 56729980 113459960 226919920 275140403 550280806 1100561612 1375702015 2201123224 2751404030 4402246448 5502808060 11005616120 22011232240