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22114241040 = 2435443207997
BaseRepresentation
bin10100100110000111…
…001000101000010000
32010002011211211201110
4110212013020220100
5330242221203130
614054212533320
71412003642643
oct244607105020
963064754643
1022114241040
119418a04671
124352021240
132115710838
1410daddba5a
15896697ab0
hex5261c8a10

22114241040 has 80 divisors (see below), whose sum is σ = 68709227328. Its totient is φ = 5883790848.

The previous prime is 22114241011. The next prime is 22114241047. The reversal of 22114241040 is 4014241122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22114240998 and 22114241016.

It is not an unprimeable number, because it can be changed into a prime (22114241047) 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, 2322 + ... + 210318.

Almost surely, 222114241040 is an apocalyptic number.

22114241040 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 22114241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34354613664).

22114241040 is an abundant number, since it is smaller than the sum of its proper divisors (46594986288).

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

22114241040 is a wasteful number, since it uses less digits than its factorization.

22114241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208456 (or 208450 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22114241040 its reverse (4014241122), we get a palindrome (26128482162).

The spelling of 22114241040 in words is "twenty-two billion, one hundred fourteen million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443 886 1329 1772 2215 2658 3544 4430 5316 6645 7088 8860 10632 13290 17720 21264 26580 35440 53160 106320 207997 415994 623991 831988 1039985 1247982 1663976 2079970 2495964 3119955 3327952 4159940 4991928 6239910 8319880 9983856 12479820 16639760 24959640 49919280 92142671 184285342 276428013 368570684 460713355 552856026 737141368 921426710 1105712052 1382140065 1474282736 1842853420 2211424104 2764280130 3685706840 4422848208 5528560260 7371413680 11057120520 22114241040