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226037304 = 233417371
BaseRepresentation
bin11010111100100…
…00111000111000
3120202022212220000
431132100320320
5430331143204
634232433000
75413166613
oct1536207070
9522285800
10226037304
11106657199
1263848760
1337aa26ac
142203d17a
1514c9e039
hexd790e38

226037304 has 160 divisors (see below), whose sum is σ = 682149600. Its totient is φ = 69914880.

The previous prime is 226037299. The next prime is 226037309. The reversal of 226037304 is 403730622.

226037304 is a `hidden beast` number, since 22 + 603 + 7 + 30 + 4 = 666.

226037304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226037299) and next prime (226037309).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226037309) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3183589 + ... + 3183659.

It is an arithmetic number, because the mean of its divisors is an integer number (4263435).

Almost surely, 2226037304 is an apocalyptic number.

226037304 is a gapful number since it is divisible by the number (24) 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 226037304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341074800).

226037304 is an abundant number, since it is smaller than the sum of its proper divisors (456112296).

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

226037304 is an equidigital number, since it uses as much as digits as its factorization.

226037304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 226037304 is about 15034.5370397628. The cubic root of 226037304 is about 609.1534472223.

Adding to 226037304 its reverse (403730622), we get a palindrome (629767926).

The spelling of 226037304 in words is "two hundred twenty-six million, thirty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 71 72 81 102 108 136 142 153 162 204 213 216 284 289 306 324 408 426 459 568 578 612 639 648 852 867 918 1156 1207 1224 1278 1377 1704 1734 1836 1917 2312 2414 2556 2601 2754 3468 3621 3672 3834 4828 4913 5112 5202 5508 5751 6936 7242 7668 7803 9656 9826 10404 10863 11016 11502 14484 14739 15336 15606 19652 20519 20808 21726 23004 23409 28968 29478 31212 32589 39304 41038 43452 44217 46008 46818 58956 61557 62424 65178 82076 86904 88434 93636 97767 117912 123114 130356 132651 164152 176868 184671 187272 195534 246228 260712 265302 348823 353736 369342 391068 397953 492456 530604 554013 697646 738684 782136 795906 1046469 1061208 1108026 1395292 1477368 1591812 1662039 2092938 2216052 2790584 3139407 3183624 3324078 4185876 4432104 6278814 6648156 8371752 9418221 12557628 13296312 18836442 25115256 28254663 37672884 56509326 75345768 113018652 226037304