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10225314 = 23211431201
BaseRepresentation
bin100111000000…
…011010100010
3201020111111100
4213000122202
510104202224
61003055230
7152625261
oct47003242
921214440
1010225314
115854480
123511516
1321702a8
1415025d8
15d6eac9
hex9c06a2

10225314 has 48 divisors (see below), whose sum is σ = 24751584. Its totient is φ = 3024000.

The previous prime is 10225307. The next prime is 10225331. The reversal of 10225314 is 41352201.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7914 + ... + 9114.

It is an arithmetic number, because the mean of its divisors is an integer number (515658).

Almost surely, 210225314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375792).

10225314 is an abundant number, since it is smaller than the sum of its proper divisors (14526270).

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

10225314 is a wasteful number, since it uses less digits than its factorization.

10225314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10225314 is about 3197.7044891609. The cubic root of 10225314 is about 217.0495473233.

Adding to 10225314 its reverse (41352201), we get a palindrome (51577515).

It can be divided in two parts, 1022 and 5314, that added together give a palindrome (6336).

The spelling of 10225314 in words is "ten million, two hundred twenty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1201 1419 2402 2838 3603 4257 7206 8514 10809 13211 21618 26422 39633 51643 79266 103286 118899 154929 237798 309858 464787 568073 929574 1136146 1704219 3408438 5112657 10225314