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10108224 = 2632723109
BaseRepresentation
bin100110100011…
…110101000000
3201000112212200
4212203311000
510041430344
61000353200
7151630020
oct46436500
921015780
1010108224
115784505
123475800
13212bbc9
1414b1a80
15d4a069
hex9a3d40

10108224 has 168 divisors, whose sum is σ = 34869120. Its totient is φ = 2737152.

The previous prime is 10108187. The next prime is 10108229. The reversal of 10108224 is 42280101.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 10108197 and 10108206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92682 + ... + 92790.

Almost surely, 210108224 is an apocalyptic number.

10108224 is a gapful number since it is divisible by the number (14) 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 10108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434560).

10108224 is an abundant number, since it is smaller than the sum of its proper divisors (24760896).

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

10108224 is a wasteful number, since it uses less digits than its factorization.

10108224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10108224 is about 3179.3433284249. The cubic root of 10108224 is about 216.2178871312.

Adding to 10108224 its reverse (42280101), we get a palindrome (52388325).

The spelling of 10108224 in words is "ten million, one hundred eight thousand, two hundred twenty-four".