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228357340 = 225233713417
BaseRepresentation
bin11011001110001…
…11010011011100
3120220200202101021
431213013103130
5431424413330
634354253524
75442001561
oct1547072334
9526622337
10228357340
111079a1282
12645872a4
13384056b3
1422484868
15150ab67a
hexd9c74dc

228357340 has 48 divisors (see below), whose sum is σ = 513963072. Its totient is φ = 85003776.

The previous prime is 228357323. The next prime is 228357403. The reversal of 228357340 is 43753822.

It is a junction number, because it is equal to n+sod(n) for n = 228357296 and 228357305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10312 + ... + 23728.

It is an arithmetic number, because the mean of its divisors is an integer number (10707564).

Almost surely, 2228357340 is an apocalyptic number.

228357340 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 228357340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256981536).

228357340 is an abundant number, since it is smaller than the sum of its proper divisors (285605732).

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

228357340 is a wasteful number, since it uses less digits than its factorization.

228357340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13486 (or 13484 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 228357340 is about 15111.4969476885. The cubic root of 228357340 is about 611.2304644261.

The spelling of 228357340 in words is "two hundred twenty-eight million, three hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1702 3404 4255 8510 13417 17020 26834 53668 67085 134170 268340 308591 496429 617182 992858 1234364 1542955 1985716 2482145 3085910 4964290 6171820 9928580 11417867 22835734 45671468 57089335 114178670 228357340