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222083680 = 25572132179
BaseRepresentation
bin11010011110010…
…11101001100000
3120110220000112111
431033023221200
5423323134210
634012005104
75334452200
oct1517135140
9513800474
10222083680
111043a6835
1262460794
1337019c80
14216d0400
151476c88a
hexd3cba60

222083680 has 144 divisors (see below), whose sum is σ = 657583920. Its totient is φ = 70253568.

The previous prime is 222083677. The next prime is 222083683. The reversal of 222083680 is 86380222.

222083680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222083677) and next prime (222083683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222083683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100831 + ... + 103009.

It is an arithmetic number, because the mean of its divisors is an integer number (4566555).

Almost surely, 2222083680 is an apocalyptic number.

222083680 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 222083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328791960).

222083680 is an abundant number, since it is smaller than the sum of its proper divisors (435500240).

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

222083680 is a wasteful number, since it uses less digits than its factorization.

222083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 222083680 is about 14902.4722781155. The cubic root of 222083680 is about 605.5809641475.

The spelling of 222083680 in words is "two hundred twenty-two million, eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 65 70 80 91 98 104 112 130 140 160 182 196 208 224 245 260 280 364 392 416 455 490 520 560 637 728 784 910 980 1040 1120 1274 1456 1568 1820 1960 2080 2179 2548 2912 3185 3640 3920 4358 5096 6370 7280 7840 8716 10192 10895 12740 14560 15253 17432 20384 21790 25480 28327 30506 34864 43580 50960 56654 61012 69728 76265 87160 101920 106771 113308 122024 141635 152530 174320 198289 213542 226616 244048 283270 305060 348640 396578 427084 453232 488096 533855 566540 610120 793156 854168 906464 991445 1067710 1133080 1220240 1388023 1586312 1708336 1982890 2135420 2266160 2440480 2776046 3172624 3416672 3965780 4270840 4532320 5552092 6345248 6940115 7931560 8541680 11104184 13880230 15863120 17083360 22208368 27760460 31726240 44416736 55520920 111041840 222083680