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120222144 = 263473313
BaseRepresentation
bin1110010101001…
…11000111000000
322101012220210000
413022213013000
5221234102034
615532440000
72656604610
oct712470700
9271186700
10120222144
1161953749
1234319000
131bba4083
1411d76a40
15a84b599
hex72a71c0

120222144 has 140 divisors (see below), whose sum is σ = 407409904. Its totient is φ = 34338816.

The previous prime is 120222133. The next prime is 120222149. The reversal of 120222144 is 441222021.

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 (120222149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34632 + ... + 37944.

Almost surely, 2120222144 is an apocalyptic number.

120222144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203704952).

120222144 is an abundant number, since it is smaller than the sum of its proper divisors (287187760).

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

120222144 is an equidigital number, since it uses as much as digits as its factorization.

120222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3325 counting only the distinct ones).

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

The square root of 120222144 is about 10964.5859018934. The cubic root of 120222144 is about 493.5465906993.

Adding to 120222144 its reverse (441222021), we get a palindrome (561444165).

The spelling of 120222144 in words is "one hundred twenty million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 3313 4032 4536 5184 6048 6626 9072 9939 12096 13252 18144 19878 23191 26504 29817 36288 39756 46382 53008 59634 69573 79512 89451 92764 106016 119268 139146 159024 178902 185528 208719 212032 238536 268353 278292 318048 357804 371056 417438 477072 536706 556584 626157 636096 715608 742112 834876 954144 1073412 1113168 1252314 1431216 1484224 1669752 1878471 1908288 2146824 2226336 2504628 2862432 3339504 3756942 4293648 4452672 5009256 5724864 6679008 7513884 8587296 10018512 13358016 15027768 17174592 20037024 30055536 40074048 60111072 120222144