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227690064 = 24327223261
BaseRepresentation
bin11011001001001…
…00011001010000
3120212102212001100
431210210121100
5431242040224
634332104400
75433222300
oct1544443120
9525385040
10227690064
11107585a08
1264305100
1338230a64
142234d600
1514ec8ac9
hexd924650

227690064 has 270 divisors, whose sum is σ = 787583706. Its totient is φ = 61205760.

The previous prime is 227690011. The next prime is 227690069. The reversal of 227690064 is 460096722.

It is a happy number.

227690064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 134374464 + 93315600 = 11592^2 + 9660^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227690069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3732594 + ... + 3732654.

Almost surely, 2227690064 is an apocalyptic number.

227690064 is a gapful number since it is divisible by the number (24) 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 227690064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393791853).

227690064 is an abundant number, since it is smaller than the sum of its proper divisors (559893642).

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

227690064 is a wasteful number, since it uses less digits than its factorization.

227690064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 227690064 is about 15089.4023738517. The cubic root of 227690064 is about 610.6345309795.

The spelling of 227690064 in words is "two hundred twenty-seven million, six hundred ninety thousand, sixty-four".