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220214484 = 223371915331
BaseRepresentation
bin11010010000000…
…11010011010100
3120100101001111000
431020003103110
5422333330414
633503543300
75312535510
oct1510032324
9510331430
10220214484
1110333a446
12618bab30
1336814239
1421365140
15144edb09
hexd2034d4

220214484 has 96 divisors (see below), whose sum is σ = 686873600. Its totient is φ = 59603040.

The previous prime is 220214479. The next prime is 220214509. The reversal of 220214484 is 484412022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6699 + ... + 22029.

Almost surely, 2220214484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220214484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343436800).

220214484 is an abundant number, since it is smaller than the sum of its proper divisors (466659116).

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

220214484 is a wasteful number, since it uses less digits than its factorization.

220214484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15370 (or 15362 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 220214484 is about 14839.6254669719. The cubic root of 220214484 is about 603.8771916742.

The spelling of 220214484 in words is "two hundred twenty million, two hundred fourteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 15331 30662 45993 61324 91986 107317 137979 183972 214634 275958 291289 321951 413937 429268 551916 582578 643902 827874 873867 965853 1165156 1287804 1655748 1747734 1931706 2039023 2621601 2897559 3495468 3863412 4078046 5243202 5795118 6117069 7864803 8156092 10486404 11590236 12234138 15729606 18351207 24468276 31459212 36702414 55053621 73404828 110107242 220214484