Search a number
-
+
227813040 = 243357131961
BaseRepresentation
bin11011001010000…
…10011010110000
3120212200002202000
431211002122300
5431310004130
634334454000
75434243650
oct1545023260
9525602660
10227813040
1110765a344
1264364300
1338274a20
1422382360
1515000260
hexd9426b0

227813040 has 640 divisors, whose sum is σ = 1033267200. Its totient is φ = 44789760.

The previous prime is 227812997. The next prime is 227813041. The reversal of 227813040 is 40318722.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 227812995 and 227813013.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 793 × 665 × 432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227813041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3734610 + ... + 3734670.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 2227813040 is an apocalyptic number.

227813040 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 227813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516633600).

227813040 is an abundant number, since it is smaller than the sum of its proper divisors (805454160).

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

227813040 is a wasteful number, since it uses less digits than its factorization.

227813040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 227813040 is about 15093.4767366568. The cubic root of 227813040 is about 610.7444462966.

The spelling of 227813040 in words is "two hundred twenty-seven million, eight hundred thirteen thousand, forty".