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10022233 = 13472349
BaseRepresentation
bin100110001110…
…110101011001
3200212011220211
4212032311121
510031202413
6554451121
7151121224
oct46166531
920764824
1010022233
115725941
123433aa1
1320cba20
14148c5bb
15d2e83d
hex98ed59

10022233 has 12 divisors (see below), whose sum is σ = 11059300. Its totient is φ = 9028512.

The previous prime is 10022219. The next prime is 10022251. The reversal of 10022233 is 33222001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4276624 + 5745609 = 2068^2 + 2397^2 .

It is not a de Polignac number, because 10022233 - 221 = 7925081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28543 + ... + 28891.

Almost surely, 210022233 is an apocalyptic number.

10022233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10022233 is a deficient number, since it is larger than the sum of its proper divisors (1037067).

10022233 is an equidigital number, since it uses as much as digits as its factorization.

10022233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 10022233 is about 3165.7910543812. The cubic root of 10022233 is about 215.6030159762.

Adding to 10022233 its reverse (33222001), we get a palindrome (43244234).

The spelling of 10022233 in words is "ten million, twenty-two thousand, two hundred thirty-three".

Divisors: 1 13 47 349 611 2209 4537 16403 28717 213239 770941 10022233