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227097906048 = 27321326771723
BaseRepresentation
bin1101001110000000010…
…1110000101110000000
3210201011211202221101100
43103200011300232000
512210044030443143
6252154412134400
722256461231356
oct3234005605600
9721154687340
10227097906048
1188347936082
123801a767400
131855238c400
14adc4d2b7d6
155d923e86d3
hex34e0170b80

227097906048 has 288 divisors, whose sum is σ = 709090354440. Its totient is φ = 69732569088.

The previous prime is 227097906041. The next prime is 227097906071. The reversal of 227097906048 is 840609790722.

227097906048 is a `hidden beast` number, since 2 + 27 + 0 + 9 + 7 + 9 + 0 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 227097905985 and 227097906003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227097906041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131802915 + ... + 131804637.

Almost surely, 2227097906048 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 227097906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354545177220).

227097906048 is an abundant number, since it is smaller than the sum of its proper divisors (481992448392).

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

227097906048 is a wasteful number, since it uses less digits than its factorization.

227097906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 227097906048 in words is "two hundred twenty-seven billion, ninety-seven million, nine hundred six thousand, forty-eight".