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13224888 = 2332832213
BaseRepresentation
bin110010011100…
…101110111000
3220212220010200
4302130232320
511341144023
61151242200
7220260345
oct62345670
926786120
1013224888
117513066
124519360
1329806a1
141a837cc
151263743
hexc9cbb8

13224888 has 48 divisors (see below), whose sum is σ = 36265320. Its totient is φ = 4353216.

The previous prime is 13224881. The next prime is 13224901. The reversal of 13224888 is 88842231.

It is a happy number.

It is a super-2 number, since 2×132248882 = 349795325225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224881) 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 11 ways as a sum of consecutive naturals, for example, 4870 + ... + 7082.

Almost surely, 213224888 is an apocalyptic number.

13224888 is a gapful number since it is divisible by the number (18) 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 13224888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18132660).

13224888 is an abundant number, since it is smaller than the sum of its proper divisors (23040432).

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

13224888 is a wasteful number, since it uses less digits than its factorization.

13224888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2301 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 13224888 is about 3636.6039102437. The cubic root of 13224888 is about 236.4815886452.

The spelling of 13224888 in words is "thirteen million, two hundred twenty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2213 2988 4426 5976 6639 8852 13278 17704 19917 26556 39834 53112 79668 159336 183679 367358 551037 734716 1102074 1469432 1653111 2204148 3306222 4408296 6612444 13224888