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227399040 = 27325113797
BaseRepresentation
bin11011000110111…
…01010110000000
3120211220001211200
431203131112000
5431203232130
634321541200
75430600651
oct1543352600
9524801750
10227399040
111073a72a0
12641a4800
133815b45b
14222b5528
1514e6c760
hexd8dd580

227399040 has 384 divisors, whose sum is σ = 888844320. Its totient is φ = 53084160.

The previous prime is 227399017. The next prime is 227399041. The reversal of 227399040 is 40993722.

227399040 is a `hidden beast` number, since 227 + 399 + 0 + 40 = 666.

227399040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 227398986 and 227399004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227399041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2344272 + ... + 2344368.

Almost surely, 2227399040 is an apocalyptic number.

227399040 is a gapful number since it is divisible by the number (20) 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 227399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444422160).

227399040 is an abundant number, since it is smaller than the sum of its proper divisors (661445280).

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

227399040 is a wasteful number, since it uses less digits than its factorization.

227399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 227399040 is about 15079.7559661952. The cubic root of 227399040 is about 610.3742574773.

The spelling of 227399040 in words is "two hundred twenty-seven million, three hundred ninety-nine thousand, forty".