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228357800 = 235211234513
BaseRepresentation
bin11011001110001…
…11011010101000
3120220200210000022
431213013122220
5431424422200
634354300012
75442003116
oct1547073250
9526623008
10228357800
111079a1660
1264587608
1338405978
1422484ab6
15150ab885
hexd9c76a8

228357800 has 96 divisors (see below), whose sum is σ = 604514880. Its totient is φ = 79411200.

The previous prime is 228357799. The next prime is 228357809. The reversal of 228357800 is 8753822.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (228357809) 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, 48344 + ... + 52856.

It is an arithmetic number, because the mean of its divisors is an integer number (6297030).

Almost surely, 2228357800 is an apocalyptic number.

228357800 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 228357800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302257440).

228357800 is an abundant number, since it is smaller than the sum of its proper divisors (376157080).

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

228357800 is a wasteful number, since it uses less digits than its factorization.

228357800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 228357800 is about 15111.5121678805. The cubic root of 228357800 is about 611.2308748440.

The spelling of 228357800 in words is "two hundred twenty-eight million, three hundred fifty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4513 4600 5060 6325 9026 10120 12650 18052 22565 25300 36104 45130 49643 50600 90260 99286 103799 112825 180520 198572 207598 225650 248215 397144 415196 451300 496430 518995 830392 902600 992860 1037990 1141789 1241075 1985720 2075980 2283578 2482150 2594975 4151960 4567156 4964300 5189950 5708945 9134312 9928600 10379900 11417890 20759800 22835780 28544725 45671560 57089450 114178900 228357800