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226135056 = 24372932297
BaseRepresentation
bin11010111101010…
…00110000010000
3120202111211222110
431132220300100
5430342310211
634234505320
75414054610
oct1536506020
9522454873
10226135056
11106713684
1263895240
1337b08034
1422066a40
1514cbcea6
hexd7a8c10

226135056 has 80 divisors (see below), whose sum is σ = 670207104. Its totient is φ = 64361472.

The previous prime is 226134989. The next prime is 226135067. The reversal of 226135056 is 650531622.

It is a super-2 number, since 2×2261350562 = 102274127104246272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97300 + ... + 99596.

Almost surely, 2226135056 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 226135056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335103552).

226135056 is an abundant number, since it is smaller than the sum of its proper divisors (444072048).

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

226135056 is a wasteful number, since it uses less digits than its factorization.

226135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 226135056 is about 15037.7876032347. The cubic root of 226135056 is about 609.2412459839.

Adding to 226135056 its reverse (650531622), we get a palindrome (876666678).

The spelling of 226135056 in words is "two hundred twenty-six million, one hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 293 336 586 879 1172 1758 2051 2297 2344 3516 4102 4594 4688 6153 6891 7032 8204 9188 12306 13782 14064 16079 16408 18376 24612 27564 32158 32816 36752 48237 49224 55128 64316 96474 98448 110256 128632 192948 257264 385896 673021 771792 1346042 2019063 2692084 4038126 4711147 5384168 8076252 9422294 10768336 14133441 16152504 18844588 28266882 32305008 37689176 56533764 75378352 113067528 226135056