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22040020020 = 223523101158129
BaseRepresentation
bin10100100001101100…
…000000010000110100
32002220000012000121210
4110201230000100310
5330114221120040
614043002041420
71410113036064
oct244154002064
962800160553
1022040020020
119390020287
1243311a9270
132103224985
1410d11db3a4
1588edd6480
hex521b00434

22040020020 has 96 divisors (see below), whose sum is σ = 65033176320. Its totient is φ = 5566105600.

The previous prime is 22040020003. The next prime is 22040020027. The reversal of 22040020020 is 2002004022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22040019978 and 22040020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22040020027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60316 + ... + 218444.

It is an arithmetic number, because the mean of its divisors is an integer number (677428920).

Almost surely, 222040020020 is an apocalyptic number.

22040020020 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 22040020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32516588160).

22040020020 is an abundant number, since it is smaller than the sum of its proper divisors (42993156300).

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

22040020020 is a wasteful number, since it uses less digits than its factorization.

22040020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158265 (or 158263 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22040020020 its reverse (2002004022), we get a palindrome (24042024042).

The spelling of 22040020020 in words is "twenty-two billion, forty million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 101 115 138 202 230 276 303 345 404 460 505 606 690 1010 1212 1380 1515 2020 2323 3030 4646 6060 6969 9292 11615 13938 23230 27876 34845 46460 69690 139380 158129 316258 474387 632516 790645 948774 1581290 1897548 2371935 3162580 3636967 4743870 7273934 9487740 10910901 14547868 15971029 18184835 21821802 31942058 36369670 43643604 47913087 54554505 63884116 72739340 79855145 95826174 109109010 159710290 191652348 218218020 239565435 319420580 367333667 479130870 734667334 958261740 1102001001 1469334668 1836668335 2204002002 3673336670 4408004004 5510005005 7346673340 11020010010 22040020020