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220938916 = 221119475623
BaseRepresentation
bin11010010101101…
…00001010100100
3120101201212012211
431022310022210
5423030021131
633531253204
75321643532
oct1512641244
9511655184
10220938916
11103794750
1261baa204
1336a08bb3
14214b3152
15145e35b1
hexd2b42a4

220938916 has 48 divisors (see below), whose sum is σ = 453519360. Its totient is φ = 93100320.

The previous prime is 220938911. The next prime is 220938923. The reversal of 220938916 is 619839022.

220938916 = T208 + T209 + ... + T1100.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220938911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36481 + ... + 42103.

It is an arithmetic number, because the mean of its divisors is an integer number (9448320).

Almost surely, 2220938916 is an apocalyptic number.

It is an amenable number.

220938916 is an abundant number, since it is smaller than the sum of its proper divisors (232580444).

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

220938916 is a wasteful number, since it uses less digits than its factorization.

220938916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 220938916 is about 14864.0141280880. The cubic root of 220938916 is about 604.5386515395.

The spelling of 220938916 in words is "two hundred twenty million, nine hundred thirty-eight thousand, nine hundred sixteen".

Divisors: 1 2 4 11 19 22 38 44 47 76 94 188 209 418 517 836 893 1034 1786 2068 3572 5623 9823 11246 19646 22492 39292 61853 106837 123706 213674 247412 264281 427348 528562 1057124 1175207 2350414 2907091 4700828 5021339 5814182 10042678 11628364 20085356 55234729 110469458 220938916