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226462200 = 23352371012
BaseRepresentation
bin11010111111110…
…00100111111000
3120210010110201220
431133320213320
5430433242300
634245512040
75416616436
oct1537704770
9523113656
10226462200
11106917448
1263a12620
1337bc0c03
142210dd56
1514d34da0
hexd7f89f8

226462200 has 144 divisors (see below), whose sum is σ = 728216040. Its totient is φ = 58176000.

The previous prime is 226462141. The next prime is 226462207. The reversal of 226462200 is 2264622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226462207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2242150 + ... + 2242250.

Almost surely, 2226462200 is an apocalyptic number.

226462200 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 226462200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364108020).

226462200 is an abundant number, since it is smaller than the sum of its proper divisors (501753840).

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

226462200 is a wasteful number, since it uses less digits than its factorization.

226462200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 226462200 is about 15048.6610700089. The cubic root of 226462200 is about 609.5348958448.

Multiplying 226462200 by its reverse (2264622), we get a square (512851280288400 = 226462202).

226462200 divided by its reverse (2264622) gives a square (100 = 102).

The spelling of 226462200 in words is "two hundred twenty-six million, four hundred sixty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 101 111 120 148 150 185 200 202 222 296 300 303 370 404 444 505 555 600 606 740 808 888 925 1010 1110 1212 1480 1515 1850 2020 2220 2424 2525 2775 3030 3700 3737 4040 4440 5050 5550 6060 7400 7474 7575 10100 10201 11100 11211 12120 14948 15150 18685 20200 20402 22200 22422 29896 30300 30603 37370 40804 44844 51005 56055 60600 61206 74740 81608 89688 93425 102010 112110 122412 149480 153015 186850 204020 224220 244824 255025 280275 306030 373700 377437 408040 448440 510050 560550 612060 747400 754874 765075 1020100 1121100 1132311 1224120 1509748 1530150 1887185 2040200 2242200 2264622 3019496 3060300 3774370 4529244 5661555 6120600 7548740 9058488 9435925 11323110 15097480 18871850 22646220 28307775 37743700 45292440 56615550 75487400 113231100 226462200