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226430402200 = 23523772742089
BaseRepresentation
bin1101001011100001001…
…1011011111010011000
3210122110022202020020121
43102320103123322120
512202212140332300
6252004245203024
722234104443122
oct3227023337230
9718408666217
10226430402200
1188035071602
1237a73100474
1318476cba212
14ad60412212
155d539e481a
hex34b84dbe98

226430402200 has 96 divisors (see below), whose sum is σ = 541435658400. Its totient is φ = 88000957440.

The previous prime is 226430402189. The next prime is 226430402257. The reversal of 226430402200 is 2204034622.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5358756 + ... + 5400844.

It is an arithmetic number, because the mean of its divisors is an integer number (5639954775).

Almost surely, 2226430402200 is an apocalyptic number.

226430402200 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 226430402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270717829200).

226430402200 is an abundant number, since it is smaller than the sum of its proper divisors (315005256200).

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

226430402200 is a wasteful number, since it uses less digits than its factorization.

226430402200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42869 (or 42860 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 226430402200 its reverse (2204034622), we get a palindrome (228634436822).

The spelling of 226430402200 in words is "two hundred twenty-six billion, four hundred thirty million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 727 740 925 1454 1480 1850 2908 3635 3700 5816 7270 7400 14540 18175 26899 29080 36350 42089 53798 72700 84178 107596 134495 145400 168356 210445 215192 268990 336712 420890 537980 672475 841780 1052225 1075960 1344950 1557293 1683560 2104450 2689900 3114586 4208900 5379800 6229172 7786465 8417800 12458344 15572930 30598703 31145860 38932325 61197406 62291720 77864650 122394812 152993515 155729300 244789624 305987030 311458600 611974060 764967575 1132152011 1223948120 1529935150 2264304022 3059870300 4528608044 5660760055 6119740600 9057216088 11321520110 22643040220 28303800275 45286080440 56607600550 113215201100 226430402200