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227308368 = 243731139157
BaseRepresentation
bin11011000110001…
…11001101010000
3120211201110110110
431203013031100
5431142331433
634320001320
75430042420
oct1543071520
9524643413
10227308368
11107345161
1264160240
13381290c1
1422290480
1514e50963
hexd8c7350

227308368 has 160 divisors (see below), whose sum is σ = 702177280. Its totient is φ = 62000640.

The previous prime is 227308357. The next prime is 227308373. The reversal of 227308368 is 863803722.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1447746 + ... + 1447902.

It is an arithmetic number, because the mean of its divisors is an integer number (4388608).

Almost surely, 2227308368 is an apocalyptic number.

227308368 is a gapful number since it is divisible by the number (28) 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 227308368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351088640).

227308368 is an abundant number, since it is smaller than the sum of its proper divisors (474868912).

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

227308368 is a wasteful number, since it uses less digits than its factorization.

227308368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 227308368 is about 15076.7492517452. The cubic root of 227308368 is about 610.2931207933.

The spelling of 227308368 in words is "two hundred twenty-seven million, three hundred eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 139 157 168 186 217 248 278 314 336 372 417 434 471 496 556 628 651 744 834 868 942 973 1099 1112 1256 1302 1488 1668 1736 1884 1946 2198 2224 2512 2604 2919 3297 3336 3472 3768 3892 4309 4396 4867 5208 5838 6594 6672 7536 7784 8618 8792 9734 10416 11676 12927 13188 14601 15568 17236 17584 19468 21823 23352 25854 26376 29202 30163 34069 34472 38936 43646 46704 51708 52752 58404 60326 65469 68138 68944 77872 87292 90489 102207 103416 116808 120652 130938 136276 152761 174584 180978 204414 206832 233616 241304 261876 272552 305522 349168 361956 408828 458283 482608 523752 545104 611044 676513 723912 817656 916566 1047504 1222088 1353026 1447824 1635312 1833132 2029539 2444176 2706052 3666264 4059078 4735591 5412104 7332528 8118156 9471182 10824208 14206773 16236312 18942364 28413546 32472624 37884728 56827092 75769456 113654184 227308368