Search a number
-
+
228374640 = 24345132711
BaseRepresentation
bin11011001110010…
…11100001110000
3120220201122010000
431213023201300
5431430442030
634354510000
75442103164
oct1547134160
9526648100
10228374640
11107a0327a
1264595300
1338410530
142248aca4
15150b1860
hexd9cb870

228374640 has 200 divisors, whose sum is σ = 854507808. Its totient is φ = 56194560.

The previous prime is 228374611. The next prime is 228374669. The reversal of 228374640 is 46473822.

228374640 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 7 + 4 + 640 = 666.

228374640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228374611) and next prime (228374669).

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 = 228374595 and 228374604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82885 + ... + 85595.

Almost surely, 2228374640 is an apocalyptic number.

228374640 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 228374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427253904).

228374640 is an abundant number, since it is smaller than the sum of its proper divisors (626133168).

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

228374640 is a wasteful number, since it uses less digits than its factorization.

228374640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 228374640 is about 15112.0693487027. The cubic root of 228374640 is about 611.2458993289.

The spelling of 228374640 in words is "two hundred twenty-eight million, three hundred seventy-four thousand, six hundred forty".