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228350600 = 23523733061
BaseRepresentation
bin11011001110001…
…01101010001000
3120220200102010122
431213011222020
5431424204400
634354202412
75441643122
oct1547055210
9526612118
10228350600
11107997205
1264583408
13384025ca
1422482212
15150a9685
hexd9c5a88

228350600 has 48 divisors (see below), whose sum is σ = 532512420. Its totient is φ = 91065600.

The previous prime is 228350599. The next prime is 228350651. The reversal of 228350600 is 6053822.

It can be written as a sum of positive squares in 6 ways, for example, as 150945796 + 77404804 = 12286^2 + 8798^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 228350600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73070 + ... + 76130.

Almost surely, 2228350600 is an apocalyptic number.

228350600 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 228350600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266256210).

228350600 is an abundant number, since it is smaller than the sum of its proper divisors (304161820).

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

228350600 is a wasteful number, since it uses less digits than its factorization.

228350600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 228350600 is about 15111.2739370313. The cubic root of 228350600 is about 611.2244508484.

The spelling of 228350600 in words is "two hundred twenty-eight million, three hundred fifty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 373 746 1492 1865 2984 3061 3730 6122 7460 9325 12244 14920 15305 18650 24488 30610 37300 61220 74600 76525 122440 153050 306100 612200 1141753 2283506 4567012 5708765 9134024 11417530 22835060 28543825 45670120 57087650 114175300 228350600