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227145100 = 2252713109229
BaseRepresentation
bin11011000100111…
…11010110001100
3120211102011111111
431202133112030
5431122120400
634312301404
75425462420
oct1542372614
9524364444
10227145100
11107243526
12640a1864
133809c9b0
142224ab80
1514e1c3ba
hexd89f58c

227145100 has 144 divisors (see below), whose sum is σ = 614891200. Its totient is φ = 70917120.

The previous prime is 227145089. The next prime is 227145119. The reversal of 227145100 is 1541722.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991786 + ... + 992014.

Almost surely, 2227145100 is an apocalyptic number.

227145100 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 227145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307445600).

227145100 is an abundant number, since it is smaller than the sum of its proper divisors (387746100).

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

227145100 is a wasteful number, since it uses less digits than its factorization.

227145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 227145100 is about 15071.3337166954. Note that the first 3 decimals coincide. The cubic root of 227145100 is about 610.1469680816.

Adding to 227145100 its reverse (1541722), we get a palindrome (228686822).

The spelling of 227145100 in words is "two hundred twenty-seven million, one hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 109 130 140 175 182 218 229 260 325 350 364 436 455 458 545 650 700 763 910 916 1090 1145 1300 1417 1526 1603 1820 2180 2275 2290 2725 2834 2977 3052 3206 3815 4550 4580 5450 5668 5725 5954 6412 7085 7630 8015 9100 9919 10900 11450 11908 14170 14885 15260 16030 19075 19838 20839 22900 24961 28340 29770 32060 35425 38150 39676 40075 41678 49595 49922 59540 70850 74425 76300 80150 83356 99190 99844 104195 124805 141700 148850 160300 174727 198380 208390 247975 249610 297700 324493 349454 416780 495950 499220 520975 624025 648986 698908 873635 991900 1041950 1248050 1297972 1622465 1747270 2083900 2271451 2496100 3244930 3494540 4368175 4542902 6489860 8112325 8736350 9085804 11357255 16224650 17472700 22714510 32449300 45429020 56786275 113572550 227145100