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226701200 = 24521167769
BaseRepresentation
bin11011000001100…
…10111110010000
3120210120121120202
431200302332100
5431013414300
634254554332
75421633305
oct1540627620
9523517522
10226701200
11106a6aa70
1263b089a8
1337c7592b
14221730ac
1514d80ad5
hexd832f90

226701200 has 120 divisors (see below), whose sum is σ = 603815520. Its totient is φ = 81100800.

The previous prime is 226701199. The next prime is 226701227. The reversal of 226701200 is 2107622.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 294416 + ... + 295184.

It is an arithmetic number, because the mean of its divisors is an integer number (5031796).

Almost surely, 2226701200 is an apocalyptic number.

226701200 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 226701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301907760).

226701200 is an abundant number, since it is smaller than the sum of its proper divisors (377114320).

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

226701200 is a wasteful number, since it uses less digits than its factorization.

226701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 226701200 is about 15056.5998817794. The cubic root of 226701200 is about 609.7492474704.

Adding to 226701200 its reverse (2107622), we get a palindrome (228808822).

The spelling of 226701200 in words is "two hundred twenty-six million, seven hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 67 80 88 100 110 134 176 200 220 268 275 335 400 440 536 550 670 737 769 880 1072 1100 1340 1474 1538 1675 2200 2680 2948 3076 3350 3685 3845 4400 5360 5896 6152 6700 7370 7690 8459 11792 12304 13400 14740 15380 16918 18425 19225 26800 29480 30760 33836 36850 38450 42295 51523 58960 61520 67672 73700 76900 84590 103046 135344 147400 153800 169180 206092 211475 257615 294800 307600 338360 412184 422950 515230 566753 676720 824368 845900 1030460 1133506 1288075 1691800 2060920 2267012 2576150 2833765 3383600 4121840 4534024 5152300 5667530 9068048 10304600 11335060 14168825 20609200 22670120 28337650 45340240 56675300 113350600 226701200