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228597100 = 225231371993
BaseRepresentation
bin11011010000000…
…01110101101100
3120221010221021021
431220001311230
5432010101400
634403343524
75444020564
oct1550016554
9527127237
10228597100
11108045426
1264681ba4
133848a874
1422507da4
151510771a
hexda01d6c

228597100 has 72 divisors (see below), whose sum is σ = 526160768. Its totient is φ = 86054400.

The previous prime is 228597059. The next prime is 228597107. The reversal of 228597100 is 1795822.

It is not an unprimeable number, because it can be changed into a prime (228597107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 113704 + ... + 115696.

Almost surely, 2228597100 is an apocalyptic number.

228597100 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 228597100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263080384).

228597100 is an abundant number, since it is smaller than the sum of its proper divisors (297563668).

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

228597100 is a wasteful number, since it uses less digits than its factorization.

228597100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 228597100 is about 15119.4278992295. The cubic root of 228597100 is about 611.4443066982. Note that the first 3 decimals are identical.

The spelling of 228597100 in words is "two hundred twenty-eight million, five hundred ninety-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 37 50 62 74 100 124 148 155 185 310 370 620 740 775 925 1147 1550 1850 1993 2294 3100 3700 3986 4588 5735 7972 9965 11470 19930 22940 28675 39860 49825 57350 61783 73741 99650 114700 123566 147482 199300 247132 294964 308915 368705 617830 737410 1235660 1474820 1544575 1843525 2285971 3089150 3687050 4571942 6178300 7374100 9143884 11429855 22859710 45719420 57149275 114298550 228597100