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10187226 = 2327233347
BaseRepresentation
bin100110110111…
…000111011010
3201011120020200
4212313013122
510101442401
61002203030
7152406240
oct46670732
921146220
1010187226
1158288a5
1234b3476
132158b5a
1414d2790
15d63686
hex9b71da

10187226 has 48 divisors (see below), whose sum is σ = 25406784. Its totient is φ = 2889792.

The previous prime is 10187213. The next prime is 10187239. The reversal of 10187226 is 62278101.

It is an interprime number because it is at equal distance from previous prime (10187213) and next prime (10187239).

It is a self number, because there is not a number n which added to its sum of digits gives 10187226.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29185 + ... + 29531.

It is an arithmetic number, because the mean of its divisors is an integer number (529308).

Almost surely, 210187226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10187226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12703392).

10187226 is an abundant number, since it is smaller than the sum of its proper divisors (15219558).

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

10187226 is a wasteful number, since it uses less digits than its factorization.

10187226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10187226 is about 3191.7434107397. The cubic root of 10187226 is about 216.7797179912.

The spelling of 10187226 in words is "ten million, one hundred eighty-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 233 347 466 694 699 1041 1398 1631 2082 2097 2429 3123 3262 4194 4858 4893 6246 7287 9786 14574 14679 21861 29358 43722 80851 161702 242553 485106 565957 727659 1131914 1455318 1697871 3395742 5093613 10187226