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104432224 = 25131714767
BaseRepresentation
bin1100011100110…
…00001001100000
321021111201002011
412032120021200
5203213312344
614210202304
72405442061
oct616301140
9237451064
10104432224
1153a49526
122ab83394
1318836020
14dc26568
15927cd34
hex6398260

104432224 has 48 divisors (see below), whose sum is σ = 234456768. Its totient is φ = 45361152.

The previous prime is 104432221. The next prime is 104432243. The reversal of 104432224 is 422234401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 104432195 and 104432204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104432221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312 + ... + 14455.

It is an arithmetic number, because the mean of its divisors is an integer number (4884516).

Almost surely, 2104432224 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 104432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117228384).

104432224 is an abundant number, since it is smaller than the sum of its proper divisors (130024544).

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

104432224 is a wasteful number, since it uses less digits than its factorization.

104432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14807 (or 14799 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 104432224 is about 10219.2085799244. The cubic root of 104432224 is about 470.9175135743.

Adding to 104432224 its reverse (422234401), we get a palindrome (526666625).

The spelling of 104432224 in words is "one hundred four million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 14767 29534 59068 118136 191971 236272 251039 383942 472544 502078 767884 1004156 1535768 2008312 3071536 3263507 4016624 6143072 6527014 8033248 13054028 26108056 52216112 104432224