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10325224 = 2371321091
BaseRepresentation
bin100111011000…
…110011101000
3201102120112201
4213120303220
510120401344
61005145544
7153522460
oct47306350
921376481
1010325224
115912548
12355b2b4
1321a6900
14152aba0
15d8e4d4
hex9d8ce8

10325224 has 48 divisors (see below), whose sum is σ = 23980320. Its totient is φ = 4080960.

The previous prime is 10325219. The next prime is 10325233. The reversal of 10325224 is 42252301.

10325224 = T127 + T128 + ... + T399.

10325224 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 2×103252242 = 213220501300352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8919 + ... + 10009.

It is an arithmetic number, because the mean of its divisors is an integer number (499590).

Almost surely, 210325224 is an apocalyptic number.

10325224 is a gapful number since it is divisible by the number (14) 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 10325224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990160).

10325224 is an abundant number, since it is smaller than the sum of its proper divisors (13655096).

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

10325224 is a wasteful number, since it uses less digits than its factorization.

10325224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 10325224 is about 3213.2886580573. The cubic root of 10325224 is about 217.7541767967.

Adding to 10325224 its reverse (42252301), we get a palindrome (52577525).

The spelling of 10325224 in words is "ten million, three hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1091 1183 1352 2182 2366 4364 4732 7637 8728 9464 14183 15274 28366 30548 56732 61096 99281 113464 184379 198562 368758 397124 737516 794248 1290653 1475032 2581306 5162612 10325224