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214522620 = 2235132291201
BaseRepresentation
bin11001100100101…
…01101011111100
3112221122212201020
430302111223330
5414404210440
633141544140
75213261244
oct1462255374
9487585636
10214522620
11100102024
125ba15050
13355a0580
14206c2b24
1513c773d0
hexcc95afc

214522620 has 96 divisors (see below), whose sum is σ = 650233920. Its totient is φ = 52531200.

The previous prime is 214522613. The next prime is 214522639. The reversal of 214522620 is 26225412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178020 + ... + 179220.

It is an arithmetic number, because the mean of its divisors is an integer number (6773270).

Almost surely, 2214522620 is an apocalyptic number.

214522620 is a gapful number since it is divisible by the number (20) 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 214522620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325116960).

214522620 is an abundant number, since it is smaller than the sum of its proper divisors (435711300).

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

214522620 is a wasteful number, since it uses less digits than its factorization.

214522620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 214522620 is about 14646.5907295862. The cubic root of 214522620 is about 598.6289248637.

The spelling of 214522620 in words is "two hundred fourteen million, five hundred twenty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 229 260 390 458 687 780 916 1145 1201 1374 2290 2402 2748 2977 3435 3603 4580 4804 5954 6005 6870 7206 8931 11908 12010 13740 14412 14885 15613 17862 18015 24020 29770 31226 35724 36030 44655 46839 59540 62452 72060 78065 89310 93678 156130 178620 187356 234195 275029 312260 468390 550058 825087 936780 1100116 1375145 1650174 2750290 3300348 3575377 4125435 5500580 7150754 8250870 10726131 14301508 16501740 17876885 21452262 35753770 42904524 53630655 71507540 107261310 214522620