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226827264 = 2103471571
BaseRepresentation
bin11011000010100…
…01110000000000
3120210211000111210
431201101300000
5431031433024
634301410120
75422666656
oct1541216000
9523730453
10226827264
11107046754
1263b69940
1337cbb121
14221a6dd6
1514da8129
hexd851c00

226827264 has 88 divisors (see below), whose sum is σ = 617833728. Its totient is φ = 73953280.

The previous prime is 226827259. The next prime is 226827281. The reversal of 226827264 is 462728622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143599 + ... + 145169.

Almost surely, 2226827264 is an apocalyptic number.

226827264 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 226827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308916864).

226827264 is an abundant number, since it is smaller than the sum of its proper divisors (391006464).

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

226827264 is a wasteful number, since it uses less digits than its factorization.

226827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1623 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 226827264 is about 15060.7856368783. The cubic root of 226827264 is about 609.8622496444.

It can be divided in two parts, 22 and 6827264, that added together give a palindrome (6827286).

The spelling of 226827264 in words is "two hundred twenty-six million, eight hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1024 1128 1504 1536 1571 2256 3008 3072 3142 4512 4713 6016 6284 9024 9426 12032 12568 18048 18852 24064 25136 36096 37704 48128 50272 72192 73837 75408 100544 144384 147674 150816 201088 221511 295348 301632 402176 443022 590696 603264 804352 886044 1181392 1206528 1608704 1772088 2362784 2413056 3544176 4725568 4826112 7088352 9451136 14176704 18902272 28353408 37804544 56706816 75609088 113413632 226827264