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10234224 = 24327111371
BaseRepresentation
bin100111000010…
…100101110000
3201020221201100
4213002211300
510104443344
61003204400
7152663250
oct47024560
921227640
1010234224
115860140
123516700
132174370
141505960
15d72569
hex9c2970

10234224 has 240 divisors, whose sum is σ = 38997504. Its totient is φ = 2419200.

The previous prime is 10234207. The next prime is 10234253. The reversal of 10234224 is 42243201.

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 = 10234197 and 10234206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144109 + ... + 144179.

Almost surely, 210234224 is an apocalyptic number.

10234224 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 10234224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

10234224 is an abundant number, since it is smaller than the sum of its proper divisors (28763280).

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

10234224 is a wasteful number, since it uses less digits than its factorization.

10234224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10234224 is about 3199.0973726975. The cubic root of 10234224 is about 217.1125722834.

Adding to 10234224 its reverse (42243201), we get a palindrome (52477425).

The spelling of 10234224 in words is "ten million, two hundred thirty-four thousand, two hundred twenty-four".