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226270300 = 225243101521
BaseRepresentation
bin11010111110010…
…01110001011100
3120202202201111111
431133021301130
5430411122200
634241431404
75415160114
oct1537116134
9522681444
10226270300
111067a6253
126393b564
1337b54769
14220a0044
1514ce80ba
hexd7c9c5c

226270300 has 72 divisors (see below), whose sum is σ = 508373712. Its totient is φ = 87360000.

The previous prime is 226270283. The next prime is 226270301. The reversal of 226270300 is 3072622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226270301) 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, 434040 + ... + 434560.

It is an arithmetic number, because the mean of its divisors is an integer number (7060746).

Almost surely, 2226270300 is an apocalyptic number.

226270300 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 226270300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254186856).

226270300 is an abundant number, since it is smaller than the sum of its proper divisors (282103412).

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

226270300 is a wasteful number, since it uses less digits than its factorization.

226270300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 226270300 is about 15042.2837361885. The cubic root of 226270300 is about 609.3626775505.

The spelling of 226270300 in words is "two hundred twenty-six million, two hundred seventy thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 101 172 202 215 404 430 505 521 860 1010 1042 1075 2020 2084 2150 2525 2605 4300 4343 5050 5210 8686 10100 10420 13025 17372 21715 22403 26050 43430 44806 52100 52621 86860 89612 105242 108575 112015 210484 217150 224030 263105 434300 448060 526210 560075 1052420 1120150 1315525 2240300 2262703 2631050 4525406 5262100 9050812 11313515 22627030 45254060 56567575 113135150 226270300