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120224442 = 231317711277
BaseRepresentation
bin1110010101001…
…11101010111010
322101020000221010
413022213222322
5221234140232
615532454350
72656614402
oct712475272
9271200833
10120224442
1161955448
123431a3b6
131bba5130
1411d77802
15a84c0cc
hex72a7aba

120224442 has 64 divisors (see below), whose sum is σ = 278256384. Its totient is φ = 34298880.

The previous prime is 120224437. The next prime is 120224453. The reversal of 120224442 is 244422021.

It is a super-2 number, since 2×1202244422 = 28907832908422728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93508 + ... + 94784.

It is an arithmetic number, because the mean of its divisors is an integer number (4347756).

Almost surely, 2120224442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120224442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139128192).

120224442 is an abundant number, since it is smaller than the sum of its proper divisors (158031942).

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

120224442 is a wasteful number, since it uses less digits than its factorization.

120224442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383.

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 120224442 is about 10964.6906933119. The cubic root of 120224442 is about 493.5497353303.

Adding to 120224442 its reverse (244422021), we get a palindrome (364646463).

The spelling of 120224442 in words is "one hundred twenty million, two hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 71 78 102 142 213 221 426 442 663 923 1207 1277 1326 1846 2414 2554 2769 3621 3831 5538 7242 7662 15691 16601 21709 31382 33202 43418 47073 49803 65127 90667 94146 99606 130254 181334 272001 282217 544002 564434 846651 1178671 1541339 1693302 2357342 3082678 3536013 4624017 7072026 9248034 20037407 40074814 60112221 120224442