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226191931812 = 2233711433371877
BaseRepresentation
bin1101001010101000010…
…1101111100110100100
3210121211201000200101000
43102222011233212210
512201220113304222
6251524450033300
722225150461150
oct3225205574644
9717751020330
10226191931812
1187a224a3240
1237a07278830
1318439783692
14ad3a898060
155d3cadb9ac
hex34aa16f9a4

226191931812 has 384 divisors, whose sum is σ = 750748078080. Its totient is φ = 57184081920.

The previous prime is 226191931781. The next prime is 226191931873. The reversal of 226191931812 is 218139191622.

226191931812 is a `hidden beast` number, since 2 + 2 + 619 + 1 + 9 + 3 + 18 + 12 = 666.

226191931812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120506218 + ... + 120508094.

It is an arithmetic number, because the mean of its divisors is an integer number (1955073120).

Almost surely, 2226191931812 is an apocalyptic number.

226191931812 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 226191931812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375374039040).

226191931812 is an abundant number, since it is smaller than the sum of its proper divisors (524556146268).

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

226191931812 is a wasteful number, since it uses less digits than its factorization.

226191931812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2280 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 226191931812 in words is "two hundred twenty-six billion, one hundred ninety-one million, nine hundred thirty-one thousand, eight hundred twelve".