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221116938 = 23729379479
BaseRepresentation
bin11010010110111…
…11101000001010
3120102001220102020
431023133220022
5423101220223
633535145310
75323314540
oct1513375012
9512056366
10221116938
111038a6479
1262075236
1336a6bc33
142151bd90
151462b1e3
hexd2dfa0a

221116938 has 64 divisors (see below), whose sum is σ = 525312000. Its totient is φ = 60709824.

The previous prime is 221116919. The next prime is 221116939. The reversal of 221116938 is 839611122.

It is a junction number, because it is equal to n+sod(n) for n = 221116899 and 221116908.

It is not an unprimeable number, because it can be changed into a prime (221116939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461383 + ... + 461861.

It is an arithmetic number, because the mean of its divisors is an integer number (8208000).

Almost surely, 2221116938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221116938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262656000).

221116938 is an abundant number, since it is smaller than the sum of its proper divisors (304195062).

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

221116938 is a wasteful number, since it uses less digits than its factorization.

221116938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899.

The product of its digits is 5184, while the sum is 33.

The square root of 221116938 is about 14870.0012777404. The cubic root of 221116938 is about 604.7009773826.

The spelling of 221116938 in words is "two hundred twenty-one million, one hundred sixteen thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 379 406 479 609 758 958 1137 1218 1437 2274 2653 2874 3353 5306 6706 7959 10059 10991 13891 15918 20118 21982 27782 32973 41673 65946 76937 83346 97237 153874 181541 194474 230811 291711 363082 461622 544623 583422 1089246 1270787 2541574 3812361 5264689 7624722 10529378 15794067 31588134 36852823 73705646 110558469 221116938