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12250404 = 22321737541
BaseRepresentation
bin101110101110…
…110100100100
3212001101101200
4232232310210
511114003104
61114322500
7206061315
oct56566444
925041350
1012250404
116a07a01
124129430
1326cbc7a
1418ac60c
15111eb39
hexbaed24

12250404 has 72 divisors (see below), whose sum is σ = 33736248. Its totient is φ = 3732480.

The previous prime is 12250397. The next prime is 12250463. The reversal of 12250404 is 40405221.

12250404 = T1192 + T1193 + ... + T1208.

12250404 is a `hidden beast` number, since 12 + 250 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5280804 + 6969600 = 2298^2 + 2640^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22374 + ... + 22914.

It is an arithmetic number, because the mean of its divisors is an integer number (468559).

Almost surely, 212250404 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 12250404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16868124).

12250404 is an abundant number, since it is smaller than the sum of its proper divisors (21485844).

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

12250404 is a wasteful number, since it uses less digits than its factorization.

12250404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12250404 is about 3500.0577138099. The cubic root of 12250404 is about 230.5243487468.

Adding to 12250404 its reverse (40405221), we get a palindrome (52655625).

The spelling of 12250404 in words is "twelve million, two hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 541 612 629 666 1082 1258 1332 1623 1887 2164 2516 3246 3774 4869 5661 6492 7548 9197 9738 11322 18394 19476 20017 22644 27591 36788 40034 55182 60051 80068 82773 110364 120102 165546 180153 240204 331092 340289 360306 680578 720612 1020867 1361156 2041734 3062601 4083468 6125202 12250404