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226086632208 = 243219314361991
BaseRepresentation
bin1101001010001111010…
…0000011101100010000
3210121120100212220110200
43102203310003230100
512201011134212313
6251510205055200
722222431444213
oct3224364035420
9717510786420
10226086632208
1187979012078
1237997b57500
1318420a05918
14ad2a8c777a
155d3373bb73
hex34a3d03b10

226086632208 has 240 divisors, whose sum is σ = 703514972160. Its totient is φ = 67484793600.

The previous prime is 226086632171. The next prime is 226086632221. The reversal of 226086632208 is 802236680622.

226086632208 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 8 + 6 + 632 + 2 + 0 + 8 = 666.

226086632208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260866322082 (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 47 ways as a sum of consecutive naturals, for example, 3616093 + ... + 3678083.

It is an arithmetic number, because the mean of its divisors is an integer number (2931312384).

Almost surely, 2226086632208 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 226086632208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351757486080).

226086632208 is an abundant number, since it is smaller than the sum of its proper divisors (477428339952).

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

226086632208 is a wasteful number, since it uses less digits than its factorization.

226086632208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62098 (or 62089 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 226086632208 in words is "two hundred twenty-six billion, eighty-six million, six hundred thirty-two thousand, two hundred eight".