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12198648 = 23372112341
BaseRepresentation
bin101110100010…
…001011111000
3211221202101210
4232202023320
511110324043
61113243120
7205454400
oct56421370
924852353
1012198648
116982030
1241034a0
1326b1547
141897800
15110e633
hexba22f8

12198648 has 192 divisors, whose sum is σ = 41368320. Its totient is φ = 2956800.

The previous prime is 12198631. The next prime is 12198649. The reversal of 12198648 is 84689121.

12198648 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12198648 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12198649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297508 + ... + 297548.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 212198648 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 12198648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

12198648 is an abundant number, since it is smaller than the sum of its proper divisors (29169672).

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

12198648 is a wasteful number, since it uses less digits than its factorization.

12198648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 12198648 is about 3492.6562957153. The cubic root of 12198648 is about 230.1992476330.

The spelling of 12198648 in words is "twelve million, one hundred ninety-eight thousand, six hundred forty-eight".