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10302252 = 22323163229
BaseRepresentation
bin100111010011…
…001100101100
3201101102000220
4213103030230
510114133002
61004451340
7153365502
oct47231454
921342026
1010302252
1158a7264
123549b50
13219930c
141522672
15d877bc
hex9d332c

10302252 has 48 divisors (see below), whose sum is σ = 25347840. Its totient is φ = 3250368.

The previous prime is 10302217. The next prime is 10302269. The reversal of 10302252 is 25220301.

10302252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103022522 = 212272792543008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44874 + ... + 45102.

It is an arithmetic number, because the mean of its divisors is an integer number (528080).

Almost surely, 210302252 is an apocalyptic number.

10302252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12673920).

10302252 is an abundant number, since it is smaller than the sum of its proper divisors (15045588).

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

10302252 is a wasteful number, since it uses less digits than its factorization.

10302252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10302252 is about 3209.7121366253. The cubic root of 10302252 is about 217.5925672832.

Adding to 10302252 its reverse (25220301), we get a palindrome (35522553).

The spelling of 10302252 in words is "ten million, three hundred two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 163 229 276 326 458 489 652 687 916 978 1374 1956 2748 3749 5267 7498 10534 11247 14996 15801 21068 22494 31602 37327 44988 63204 74654 111981 149308 223962 447924 858521 1717042 2575563 3434084 5151126 10302252