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225126412112 = 2472971996401
BaseRepresentation
bin1101000110101010010…
…1000110111101010000
3210112002110001200010102
43101222211012331100
512142024330141422
6251231024151532
722156561633550
oct3215245067520
9715073050112
10225126412112
1187525a99548
123776a4685a8
13182c9ab6054
14ac79173160
155cc92b7192
hex346a946f50

225126412112 has 80 divisors (see below), whose sum is σ = 516406233600. Its totient is φ = 93025228800.

The previous prime is 225126412111. The next prime is 225126412139. The reversal of 225126412112 is 211214621522.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225126412111) 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, 2287112 + ... + 2383512.

It is an arithmetic number, because the mean of its divisors is an integer number (6455077920).

Almost surely, 2225126412112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225126412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258203116800).

225126412112 is an abundant number, since it is smaller than the sum of its proper divisors (291279821488).

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

225126412112 is a wasteful number, since it uses less digits than its factorization.

225126412112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97164 (or 97158 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The spelling of 225126412112 in words is "two hundred twenty-five billion, one hundred twenty-six million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 719 812 1438 1624 2876 3248 5033 5752 10066 11504 20132 20851 40264 41702 80528 83404 96401 145957 166808 192802 291914 333616 385604 583828 674807 771208 1167656 1349614 1542416 2335312 2699228 2795629 5398456 5591258 10796912 11182516 19569403 22365032 39138806 44730064 69312319 78277612 138624638 156555224 277249276 313110448 485186233 554498552 970372466 1108997104 1940744932 2010057251 3881489864 4020114502 7762979728 8040229004 14070400757 16080458008 28140801514 32160916016 56281603028 112563206056 225126412112