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224042232 = 23347832393
BaseRepresentation
bin11010101101010…
…01110011111000
3120121120112011110
431112221303320
5424323322412
634122000320
75360220231
oct1526516370
9517515143
10224042232
11105514277
12630460a0
133755458b
1421a80088
1514a07d3c
hexd5a9cf8

224042232 has 64 divisors (see below), whose sum is σ = 579156480. Its totient is φ = 72180992.

The previous prime is 224042213. The next prime is 224042249. The reversal of 224042232 is 232240422.

It is a junction number, because it is equal to n+sod(n) for n = 224042199 and 224042208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92428 + ... + 94820.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2224042232 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 224042232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

224042232 is an abundant number, since it is smaller than the sum of its proper divisors (355114248).

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

224042232 is a wasteful number, since it uses less digits than its factorization.

224042232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 224042232 is about 14968.0403526981. The cubic root of 224042232 is about 607.3559590082.

Adding to 224042232 its reverse (232240422), we get a palindrome (456282654).

The spelling of 224042232 in words is "two hundred twenty-four million, forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 83 94 141 166 188 249 282 332 376 498 564 664 996 1128 1992 2393 3901 4786 7179 7802 9572 11703 14358 15604 19144 23406 28716 31208 46812 57432 93624 112471 198619 224942 337413 397238 449884 595857 674826 794476 899768 1191714 1349652 1588952 2383428 2699304 4766856 9335093 18670186 28005279 37340372 56010558 74680744 112021116 224042232