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12250472 = 231331741
BaseRepresentation
bin101110101110…
…110101101000
3212001101111012
4232232311220
511114003342
61114323052
7206061443
oct56566550
925041435
1012250472
116a07a63
124129488
1326cc000
1418ac65a
15111eb82
hexbaed68

12250472 has 64 divisors (see below), whose sum is σ = 26989200. Its totient is φ = 5191680.

The previous prime is 12250471. The next prime is 12250477. The reversal of 12250472 is 27405221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1267876 + 10982596 = 1126^2 + 3314^2 .

It is not an unprimeable number, because it can be changed into a prime (12250471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298772 + ... + 298812.

Almost surely, 212250472 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 12250472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600).

12250472 is an abundant number, since it is smaller than the sum of its proper divisors (14738728).

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

12250472 is a wasteful number, since it uses less digits than its factorization.

12250472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 12250472 is about 3500.0674279219. The cubic root of 12250472 is about 230.5247752804.

Adding to 12250472 its reverse (27405221), we get a palindrome (39655693).

It can be divided in two parts, 122504 and 72, that multiplied together give a palindrome (8820288).

The spelling of 12250472 in words is "twelve million, two hundred fifty thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 17 26 34 41 52 68 82 104 136 164 169 221 328 338 442 533 676 697 884 1066 1352 1394 1768 2132 2197 2788 2873 4264 4394 5576 5746 6929 8788 9061 11492 13858 17576 18122 22984 27716 36244 37349 55432 72488 74698 90077 117793 149396 180154 235586 298792 360308 471172 720616 942344 1531309 3062618 6125236 12250472