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226728244512 = 253271129212157
BaseRepresentation
bin1101001100101000001…
…1100111010100100000
3210200020002012012002100
43103022003213110200
512203314412311022
6252054005050400
722244352165060
oct3231203472440
9720202165070
10226728244512
1188178201980
1237b369b6a00
13184c3910b83
14ad8bbc33a0
155d6ec291ac
hex34ca0e7520

226728244512 has 432 divisors, whose sum is σ = 832598125632. Its totient is φ = 56855070720.

The previous prime is 226728244511. The next prime is 226728244531. The reversal of 226728244512 is 215442827622.

226728244512 is a `hidden beast` number, since 2 + 26 + 72 + 8 + 2 + 44 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (226728244511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18643938 + ... + 18656094.

It is an arithmetic number, because the mean of its divisors is an integer number (1927310476).

Almost surely, 2226728244512 is an apocalyptic number.

226728244512 is a gapful number since it is divisible by the number (22) 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 226728244512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416299062816).

226728244512 is an abundant number, since it is smaller than the sum of its proper divisors (605869881120).

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

226728244512 is a wasteful number, since it uses less digits than its factorization.

226728244512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12249 (or 12209 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 226728244512 in words is "two hundred twenty-six billion, seven hundred twenty-eight million, two hundred forty-four thousand, five hundred twelve".