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10227630 = 2357113431
BaseRepresentation
bin100111000000…
…111110101110
3201020121200010
4213000332232
510104241010
61003114050
7152635110
oct47007656
921217603
1010227630
115856196
123512926
13217136a
1415033b0
15d70620
hex9c0fae

10227630 has 64 divisors (see below), whose sum is σ = 28366848. Its totient is φ = 2311680.

The previous prime is 10227629. The next prime is 10227631. The reversal of 10227630 is 3672201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10227629) and next prime (10227631).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10227597 and 10227606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10227631) 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 31 ways as a sum of consecutive naturals, for example, 23515 + ... + 23945.

It is an arithmetic number, because the mean of its divisors is an integer number (443232).

Almost surely, 210227630 is an apocalyptic number.

10227630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10227630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183424).

10227630 is an abundant number, since it is smaller than the sum of its proper divisors (18139218).

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

10227630 is a wasteful number, since it uses less digits than its factorization.

10227630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10227630 is about 3198.0666034340. The cubic root of 10227630 is about 217.0659330891.

Adding to 10227630 its reverse (3672201), we get a palindrome (13899831).

The spelling of 10227630 in words is "ten million, two hundred twenty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 431 565 678 791 862 1130 1293 1582 1695 2155 2373 2586 3017 3390 3955 4310 4746 6034 6465 7910 9051 11865 12930 15085 18102 23730 30170 45255 48703 90510 97406 146109 243515 292218 340921 487030 681842 730545 1022763 1461090 1704605 2045526 3409210 5113815 10227630