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120224 = 2513172
BaseRepresentation
bin11101010110100000
320002220202
4131112200
512321344
62324332
71010336
oct352640
9202822
10120224
1182365
12596a8
1342950
1431b56
152594e
hex1d5a0

120224 has 36 divisors (see below), whose sum is σ = 270774. Its totient is φ = 52224.

The previous prime is 120223. The next prime is 120233. The reversal of 120224 is 422021.

Adding to 120224 its reverse (422021), we get a palindrome (542245).

It can be written as a sum of positive squares in 3 ways, for example, as 110224 + 10000 = 332^2 + 100^2 .

It is not an unprimeable number, because it can be changed into a prime (120223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7064 + ... + 7080.

2120224 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 120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135387).

120224 is an abundant number, since it is smaller than the sum of its proper divisors (150550).

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

120224 is a wasteful number, since it uses less digits than its factorization.

120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 120224 is about 346.7333269243. The cubic root of 120224 is about 49.3549130491.

The spelling of 120224 in words is "one hundred twenty thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 289 416 442 544 578 884 1156 1768 2312 3536 3757 4624 7072 7514 9248 15028 30056 60112 120224