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12822500 = 225423223
BaseRepresentation
bin110000111010…
…011111100100
3220010110011102
4300322133210
511240310000
61134455232
7213663245
oct60723744
926113142
1012822500
117268809
124364518
13286c4a2
1419baccc
1511d43d5
hexc3a7e4

12822500 has 60 divisors (see below), whose sum is σ = 29390592. Its totient is φ = 4884000.

The previous prime is 12822479. The next prime is 12822503. The reversal of 12822500 is 522821.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12822503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57389 + ... + 57611.

Almost surely, 212822500 is an apocalyptic number.

12822500 is a gapful number since it is divisible by the number (10) 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 12822500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14695296).

12822500 is an abundant number, since it is smaller than the sum of its proper divisors (16568092).

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

12822500 is a wasteful number, since it uses less digits than its factorization.

12822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 12822500 is about 3580.8518539588. The cubic root of 12822500 is about 234.0584021563.

The spelling of 12822500 in words is "twelve million, eight hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 223 230 250 446 460 500 575 625 892 1115 1150 1250 2230 2300 2500 2875 4460 5129 5575 5750 10258 11150 11500 14375 20516 22300 25645 27875 28750 51290 55750 57500 102580 111500 128225 139375 256450 278750 512900 557500 641125 1282250 2564500 3205625 6411250 12822500