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10226601 = 337114919
BaseRepresentation
bin100111000000…
…101110101001
3201020120021000
4213000232221
510104222401
61003105213
7152632110
oct47005651
921216230
1010226601
115855440
123512209
132170a58
141502c77
15d70186
hex9c0ba9

10226601 has 32 divisors (see below), whose sum is σ = 18892800. Its totient is φ = 5311440.

The previous prime is 10226599. The next prime is 10226609. The reversal of 10226601 is 10662201.

It is a happy number.

10226601 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 660 + 1 = 666.

It is not a de Polignac number, because 10226601 - 21 = 10226599 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10226609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381 + ... + 4538.

It is an arithmetic number, because the mean of its divisors is an integer number (590400).

Almost surely, 210226601 is an apocalyptic number.

10226601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10226601 is a deficient number, since it is larger than the sum of its proper divisors (8666199).

10226601 is a wasteful number, since it uses less digits than its factorization.

10226601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10226601 is about 3197.9057209368. The cubic root of 10226601 is about 217.0586531903.

Adding to 10226601 its reverse (10662201), we get a palindrome (20888802).

Subtracting 10226601 from its reverse (10662201), we obtain a square (435600 = 6602).

The spelling of 10226601 in words is "ten million, two hundred twenty-six thousand, six hundred one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 4919 14757 34433 44271 54109 103299 132813 162327 309897 378763 486981 929691 1136289 1460943 3408867 10226601