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228141400 = 23523121187
BaseRepresentation
bin11011001100100…
…10100101011000
3120220021210011111
431212102211120
5431401011100
634345510104
75440112164
oct1546224530
9526253144
10228141400
11107864013
12644a2334
133835b316
1422429ca4
15150676ba
hexd992958

228141400 has 72 divisors (see below), whose sum is σ = 548553060. Its totient is φ = 88238400.

The previous prime is 228141383. The next prime is 228141401. The reversal of 228141400 is 4141822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228141401) 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 17 ways as a sum of consecutive naturals, for example, 191607 + ... + 192793.

Almost surely, 2228141400 is an apocalyptic number.

228141400 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 228141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274276530).

228141400 is an abundant number, since it is smaller than the sum of its proper divisors (320411660).

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

228141400 is a wasteful number, since it uses less digits than its factorization.

228141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 228141400 is about 15104.3503666990. The cubic root of 228141400 is about 611.0377390943.

It can be divided in two parts, 2281 and 41400, that added together give a square (43681 = 2092).

The spelling of 228141400 in words is "two hundred twenty-eight million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 961 1187 1240 1550 1922 2374 3100 3844 4748 4805 5935 6200 7688 9496 9610 11870 19220 23740 24025 29675 36797 38440 47480 48050 59350 73594 96100 118700 147188 183985 192200 237400 294376 367970 735940 919925 1140707 1471880 1839850 2281414 3679700 4562828 5703535 7359400 9125656 11407070 22814140 28517675 45628280 57035350 114070700 228141400