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227965104 = 2435173449
BaseRepresentation
bin11011001011001…
…11100010110000
3120212221211100000
431211213202300
5431324340404
634342030000
75435446203
oct1545474260
9525854300
10227965104
11107753614
1264418300
13382c8cc3
14223c193a
1515030339
hexd9678b0

227965104 has 120 divisors (see below), whose sum is σ = 700736400. Its totient is φ = 71497728.

The previous prime is 227965093. The next prime is 227965109. The reversal of 227965104 is 401569722.

227965104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (227965109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64372 + ... + 67820.

It is an arithmetic number, because the mean of its divisors is an integer number (5839470).

Almost surely, 2227965104 is an apocalyptic number.

227965104 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 227965104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350368200).

227965104 is an abundant number, since it is smaller than the sum of its proper divisors (472771296).

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

227965104 is a wasteful number, since it uses less digits than its factorization.

227965104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 227965104 is about 15098.5133042959. The cubic root of 227965104 is about 610.8803056358.

The spelling of 227965104 in words is "two hundred twenty-seven million, nine hundred sixty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 918 972 1224 1296 1377 1836 1944 2448 2754 3449 3672 3888 4131 5508 6898 7344 8262 10347 11016 13796 16524 20694 22032 27592 31041 33048 41388 55184 58633 62082 66096 82776 93123 117266 124164 165552 175899 186246 234532 248328 279369 351798 372492 469064 496656 527697 558738 703596 744984 838107 938128 1055394 1117476 1407192 1489968 1583091 1676214 2110788 2234952 2814384 3166182 3352428 4221576 4469904 4749273 6332364 6704856 8443152 9498546 12664728 13409712 14247819 18997092 25329456 28495638 37994184 56991276 75988368 113982552 227965104