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22422000040 = 23511269189439
BaseRepresentation
bin10100111000011101…
…001001000110101000
32010212121221121200221
4110320131021012220
5331410013000130
614144525135424
71422431566336
oct247035110650
963777847627
1022422000040
1195666a8550
1244190ba574
1321643c715b
141129c30b56
158b36da87a
hex5387491a8

22422000040 has 64 divisors (see below), whose sum is σ = 55240704000. Its totient is φ = 8123101440.

The previous prime is 22422000017. The next prime is 22422000049. The reversal of 22422000040 is 4000022422.

It is a junction number, because it is equal to n+sod(n) for n = 22421999978 and 22422000023.

It is not an unprimeable number, because it can be changed into a prime (22422000049) 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, 23641 + ... + 213079.

It is an arithmetic number, because the mean of its divisors is an integer number (863136000).

Almost surely, 222422000040 is an apocalyptic number.

22422000040 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 22422000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27620352000).

22422000040 is an abundant number, since it is smaller than the sum of its proper divisors (32818703960).

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

22422000040 is a wasteful number, since it uses less digits than its factorization.

22422000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189730 (or 189726 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22422000040 its reverse (4000022422), we get a palindrome (26422022462).

The spelling of 22422000040 in words is "twenty-two billion, four hundred twenty-two million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 269 440 538 1076 1345 2152 2690 2959 5380 5918 10760 11836 14795 23672 29590 59180 118360 189439 378878 757756 947195 1515512 1894390 2083829 3788780 4167658 7577560 8335316 10419145 16670632 20838290 41676580 50959091 83353160 101918182 203836364 254795455 407672728 509590910 560550001 1019181820 1121100002 2038363640 2242200004 2802750005 4484400008 5605500010 11211000020 22422000040