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227232040672 = 25713219431733
BaseRepresentation
bin1101001110100000010…
…1011100011011100000
3210201112012011200111101
43103220011130123200
512210332400300142
6252220003124144
722263010322410
oct3235005343340
9721465150441
10227232040672
118840662143a
1238057673654
13185740c4b00
14add8a86640
155d9e0920b7
hex34e815c6e0

227232040672 has 288 divisors, whose sum is σ = 584913208320. Its totient is φ = 84849223680.

The previous prime is 227232040631. The next prime is 227232040751. The reversal of 227232040672 is 276040232722.

It is a super-3 number, since 3×2272320406723 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310002418 + ... + 310003150.

It is an arithmetic number, because the mean of its divisors is an integer number (2030948640).

Almost surely, 2227232040672 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 227232040672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292456604160).

227232040672 is an abundant number, since it is smaller than the sum of its proper divisors (357681167648).

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

227232040672 is a wasteful number, since it uses less digits than its factorization.

227232040672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The spelling of 227232040672 in words is "two hundred twenty-seven billion, two hundred thirty-two million, forty thousand, six hundred seventy-two".