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220221120 = 2635732771
BaseRepresentation
bin11010010000001…
…00111011000000
3120100101101120210
431020010323000
5422334033440
633504034120
75312564040
oct1510047300
9510341523
10220221120
11103344429
1261902940
1336817272
1421367720
1514500a80
hexd204ec0

220221120 has 112 divisors (see below), whose sum is σ = 799112448. Its totient is φ = 50334720.

The previous prime is 220221101. The next prime is 220221143. The reversal of 220221120 is 21122022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220221096 and 220221105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9666 + ... + 23105.

Almost surely, 2220221120 is an apocalyptic number.

220221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221120 is an abundant number, since it is smaller than the sum of its proper divisors (578891328).

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

220221120 is a wasteful number, since it uses less digits than its factorization.

220221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32798 (or 32788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220221120 is about 14839.8490558361. The cubic root of 220221120 is about 603.8832574103.

Adding to 220221120 its reverse (21122022), we get a palindrome (241343142).

The spelling of 220221120 in words is "two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 32771 65542 98313 131084 163855 196626 229397 262168 327710 393252 458794 491565 524336 655420 688191 786504 917588 983130 1048672 1146985 1310840 1376382 1573008 1835176 1966260 2097344 2293970 2621680 2752764 3146016 3440955 3670352 3932520 4587940 5243360 5505528 6292032 6881910 7340704 7865040 9175880 10486720 11011056 13763820 14681408 15730080 18351760 22022112 27527640 31460160 36703520 44044224 55055280 73407040 110110560 220221120