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226396368 = 243211473041
BaseRepresentation
bin11010111111010…
…00100011010000
3120210000010102200
431133220203100
5430424140433
634244243200
75416223502
oct1537504320
9523003380
10226396368
11106881a40
12639a0500
1337b99c63
14220d3d72
1514d20613
hexd7e88d0

226396368 has 120 divisors (see below), whose sum is σ = 706133376. Its totient is φ = 67123200.

The previous prime is 226396367. The next prime is 226396397. The reversal of 226396368 is 863693622.

226396368 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 9 + 636 + 8 = 666.

226396368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226396367) 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, 72928 + ... + 75968.

Almost surely, 2226396368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226396368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353066688).

226396368 is an abundant number, since it is smaller than the sum of its proper divisors (479737008).

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

226396368 is a wasteful number, since it uses less digits than its factorization.

226396368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3104 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 226396368 is about 15046.4736067957. The cubic root of 226396368 is about 609.4758266931.

The spelling of 226396368 in words is "two hundred twenty-six million, three hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 1034 1128 1551 1584 1692 2068 2256 3041 3102 3384 4136 4653 6082 6204 6768 8272 9123 9306 12164 12408 18246 18612 24328 24816 27369 33451 36492 37224 48656 54738 66902 72984 74448 100353 109476 133804 142927 145968 200706 218952 267608 285854 301059 401412 428781 437904 535216 571708 602118 802824 857562 1143416 1204236 1286343 1572197 1605648 1715124 2286832 2408472 2572686 3144394 3430248 4716591 4816944 5145372 6288788 6860496 9433182 10290744 12577576 14149773 18866364 20581488 25155152 28299546 37732728 56599092 75465456 113198184 226396368