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228344600 = 235211271383
BaseRepresentation
bin11011001110001…
…00001100011000
3120220200002220102
431213010030120
5431424011400
634354114532
75441616461
oct1547041430
9526602812
10228344600
11107992750
126457ba48
13383cc963
142247dd68
15150a79d5
hexd9c4318

228344600 has 96 divisors (see below), whose sum is σ = 582819840. Its totient is φ = 82512000.

The previous prime is 228344593. The next prime is 228344609. The reversal of 228344600 is 6443822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228344609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596009 + ... + 596391.

It is an arithmetic number, because the mean of its divisors is an integer number (6071040).

Almost surely, 2228344600 is an apocalyptic number.

228344600 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 228344600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291409920).

228344600 is an abundant number, since it is smaller than the sum of its proper divisors (354475240).

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

228344600 is a wasteful number, since it uses less digits than its factorization.

228344600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 228344600 is about 15111.0754084546. The cubic root of 228344600 is about 611.2190974155.

The spelling of 228344600 in words is "two hundred twenty-eight million, three hundred forty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 271 275 383 440 542 550 766 1084 1100 1355 1532 1915 2168 2200 2710 2981 3064 3830 4213 5420 5962 6775 7660 8426 9575 10840 11924 13550 14905 15320 16852 19150 21065 23848 27100 29810 33704 38300 42130 54200 59620 74525 76600 84260 103793 105325 119240 149050 168520 207586 210650 298100 415172 421300 518965 596200 830344 842600 1037930 1141723 2075860 2283446 2594825 4151720 4566892 5189650 5708615 9133784 10379300 11417230 20758600 22834460 28543075 45668920 57086150 114172300 228344600