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12500224 = 281123193
BaseRepresentation
bin101111101011…
…110100000000
3212112002002021
4233223310000
511200001344
61123531224
7211151542
oct57536400
925462067
1012500224
117068670
124229b14
1327888a9
141935692
15116db84
hexbebd00

12500224 has 72 divisors (see below), whose sum is σ = 28550592. Its totient is φ = 5406720.

The previous prime is 12500221. The next prime is 12500227. The reversal of 12500224 is 42200521.

12500224 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 (12500221) and next prime (12500227).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12500198 and 12500207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12500221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64672 + ... + 64864.

It is an arithmetic number, because the mean of its divisors is an integer number (396536).

Almost surely, 212500224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275296).

12500224 is an abundant number, since it is smaller than the sum of its proper divisors (16050368).

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

12500224 is a wasteful number, since it uses less digits than its factorization.

12500224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 12500224 is about 3535.5655841746. The cubic root of 12500224 is about 232.0808279602.

Adding to 12500224 its reverse (42200521), we get a palindrome (54700745).

The spelling of 12500224 in words is "twelve million, five hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 193 253 256 352 368 386 506 704 736 772 1012 1408 1472 1544 2024 2123 2816 2944 3088 4048 4246 4439 5888 6176 8096 8492 8878 12352 16192 16984 17756 24704 32384 33968 35512 48829 49408 64768 67936 71024 97658 135872 142048 195316 271744 284096 390632 543488 568192 781264 1136384 1562528 3125056 6250112 12500224