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120224214 = 232114712919
BaseRepresentation
bin1110010101001…
…11100111010110
322101020000121200
413022213213112
5221234133324
615532453330
72656613625
oct712474726
9271200550
10120224214
1161955260
123431a246
131bba4cb6
1411d776bc
15a84bec9
hex72a79d6

120224214 has 48 divisors (see below), whose sum is σ = 290234880. Its totient is φ = 35653680.

The previous prime is 120224207. The next prime is 120224219. The reversal of 120224214 is 412422021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120224219) 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, 2847 + ... + 15765.

It is an arithmetic number, because the mean of its divisors is an integer number (6046560).

Almost surely, 2120224214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120224214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145117440).

120224214 is an abundant number, since it is smaller than the sum of its proper divisors (170010666).

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

120224214 is a wasteful number, since it uses less digits than its factorization.

120224214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12985 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 120224214 is about 10964.6802962968. The cubic root of 120224214 is about 493.5494233321.

Adding to 120224214 its reverse (412422021), we get a palindrome (532646235).

The spelling of 120224214 in words is "one hundred twenty million, two hundred twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 3102 4653 9306 12919 25838 38757 77514 116271 142109 232542 284218 426327 607193 852654 1214386 1278981 1821579 2557962 3643158 5464737 6679123 10929474 13358246 20037369 40074738 60112107 120224214