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220089216 = 2731733313
BaseRepresentation
bin11010001111001…
…00101110000000
3120100010200122110
431013210232000
5422320323331
633501135320
75311504344
oct1507445600
9510120573
10220089216
11103264316
126185a540
133679c209
1421331624
15144c6946
hexd1e4b80

220089216 has 64 divisors (see below), whose sum is σ = 588168720. Its totient is φ = 72916992.

The previous prime is 220089211. The next prime is 220089223. The reversal of 220089216 is 612980022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220089211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64776 + ... + 68088.

Almost surely, 2220089216 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 220089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294084360).

220089216 is an abundant number, since it is smaller than the sum of its proper divisors (368079504).

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

220089216 is a wasteful number, since it uses less digits than its factorization.

220089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 220089216 is about 14835.4041400968. The cubic root of 220089216 is about 603.7626656980.

The spelling of 220089216 in words is "two hundred twenty million, eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 346 384 519 692 1038 1384 2076 2768 3313 4152 5536 6626 8304 9939 11072 13252 16608 19878 22144 26504 33216 39756 53008 66432 79512 106016 159024 212032 318048 424064 573149 636096 1146298 1272192 1719447 2292596 3438894 4585192 6877788 9170384 13755576 18340768 27511152 36681536 55022304 73363072 110044608 220089216