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226412482080 = 253523432411979
BaseRepresentation
bin1101001011011100111…
…1000100111000100000
3210122102002000210110110
43102313033010320200
512202143043411310
6252002405131320
722233466225641
oct3226717047040
9718362023413
10226412482080
1188025a41994
1237a690b9b40
13184733846b5
14ad5bca96c8
155d52154d20
hex34b73c4e20

226412482080 has 384 divisors, whose sum is σ = 765061355520. Its totient is φ = 56146083840.

The previous prime is 226412482063. The next prime is 226412482099. The reversal of 226412482080 is 80284214622.

It is a super-2 number, since 2×2264124820802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114406531 + ... + 114408509.

It is an arithmetic number, because the mean of its divisors is an integer number (1992347280).

Almost surely, 2226412482080 is an apocalyptic number.

226412482080 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 226412482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382530677760).

226412482080 is an abundant number, since it is smaller than the sum of its proper divisors (538648873440).

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

226412482080 is a wasteful number, since it uses less digits than its factorization.

226412482080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 226412482080 in words is "two hundred twenty-six billion, four hundred twelve million, four hundred eighty-two thousand, eighty".