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226066259232 = 25361122832
BaseRepresentation
bin1101001010001010011…
…0010101110100100000
3210121111221112212000000
43102202212111310200
512200440430243412
6251504200300000
722222063332612
oct3224246256440
9717457485000
10226066259232
1187968567600
1237991171600
13184197217c8
14ad27d02db2
155d31a654dc
hex34a2995d20

226066259232 has 378 divisors, whose sum is σ = 736075786131. Its totient is φ = 68262860160.

The previous prime is 226066259219. The next prime is 226066259339. The reversal of 226066259232 is 232952660622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226066259232 is a `hidden beast` number, since 2 + 2 + 606 + 6 + 2 + 5 + 9 + 2 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113033129616 + 113033129616 = 336204^2 + 336204^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336204.

It is a super-2 number, since 2×2260662592322 (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 62 ways as a sum of consecutive naturals, for example, 798820563 + ... + 798820845.

Almost surely, 2226066259232 is an apocalyptic number.

226066259232 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 226066259232

226066259232 is an abundant number, since it is smaller than the sum of its proper divisors (510009526899).

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

226066259232 is an frugal number, since it uses more digits than its factorization.

226066259232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 226066259232 in words is "two hundred twenty-six billion, sixty-six million, two hundred fifty-nine thousand, two hundred thirty-two".