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227048640 = 263571323113
BaseRepresentation
bin11011000100001…
…11110011000000
3120211020021011220
431202013303000
5431111024030
634310235040
75424611250
oct1542076300
9524207156
10227048640
11107188005
1264055a80
1338067b10
1422223960
1514deda10
hexd887cc0

227048640 has 448 divisors, whose sum is σ = 934004736. Its totient is φ = 45416448.

The previous prime is 227048623. The next prime is 227048659. The reversal of 227048640 is 46840722.

227048640 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 (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2009224 + ... + 2009336.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 2227048640 is an apocalyptic number.

227048640 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 227048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467002368).

227048640 is an abundant number, since it is smaller than the sum of its proper divisors (706956096).

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

227048640 is a wasteful number, since it uses less digits than its factorization.

227048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 227048640 is about 15068.1332619539. The cubic root of 227048640 is about 610.0605870127.

The spelling of 227048640 in words is "two hundred twenty-seven million, forty-eight thousand, six hundred forty".