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10227373 = 13273829
BaseRepresentation
bin100111000000…
…111010101101
3201020121022121
4213000322231
510104233443
61003112541
7152634262
oct47007255
921217277
1010227373
115855a82
123512751
132171200
141503269
15d704ed
hex9c0ead

10227373 has 12 divisors (see below), whose sum is σ = 11239860. Its totient is φ = 9300096.

The previous prime is 10227367. The next prime is 10227379. The reversal of 10227373 is 37372201.

10227373 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10227367) and next prime (10227379).

It can be written as a sum of positive squares in 6 ways, for example, as 1004004 + 9223369 = 1002^2 + 3037^2 .

It is a de Polignac number, because none of the positive numbers 2k-10227373 is a prime.

It is a super-2 number, since 2×102273732 = 209198316962258, which contains 22 as substring.

It is a Duffinian number.

10227373 is a modest number, since divided by 7373 gives 1022 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10227379) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11923 + ... + 12751.

It is an arithmetic number, because the mean of its divisors is an integer number (936655).

Almost surely, 210227373 is an apocalyptic number.

10227373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10227373 is a deficient number, since it is larger than the sum of its proper divisors (1012487).

10227373 is an equidigital number, since it uses as much as digits as its factorization.

10227373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 10227373 is about 3198.0264226551. The cubic root of 10227373 is about 217.0641149289.

Adding to 10227373 its reverse (37372201), we get a palindrome (47599574).

The spelling of 10227373 in words is "ten million, two hundred twenty-seven thousand, three hundred seventy-three".

Divisors: 1 13 73 169 829 949 10777 12337 60517 140101 786721 10227373