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220212144 = 24324093739
BaseRepresentation
bin11010010000000…
…10101110110000
3120100100221021100
431020002232300
5422333242034
633503524400
75312525625
oct1510025660
9510327240
10220212144
11103338709
12618b9700
1336813159
142136434c
15144ed099
hexd202bb0

220212144 has 60 divisors (see below), whose sum is σ = 617960200. Its totient is φ = 73204992.

The previous prime is 220212121. The next prime is 220212151. The reversal of 220212144 is 441212022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57027 + ... + 60765.

Almost surely, 2220212144 is an apocalyptic number.

220212144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220212144 is an abundant number, since it is smaller than the sum of its proper divisors (397748056).

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

220212144 is a wasteful number, since it uses less digits than its factorization.

220212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4153 counting only the distinct ones).

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

The square root of 220212144 is about 14839.5466238022. The cubic root of 220212144 is about 603.8750527328.

Adding to 220212144 its reverse (441212022), we get a palindrome (661424166).

The spelling of 220212144 in words is "two hundred twenty million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 409 818 1227 1636 2454 3272 3681 3739 4908 6544 7362 7478 9816 11217 14724 14956 19632 22434 29448 29912 33651 44868 58896 59824 67302 89736 134604 179472 269208 538416 1529251 3058502 4587753 6117004 9175506 12234008 13763259 18351012 24468016 27526518 36702024 55053036 73404048 110106072 220212144