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223322220220 = 225114137696569
BaseRepresentation
bin1100111111111100001…
…0101010011010111100
3210100102201011020010111
43033333002222122330
512124330442021340
6250332014115404
722064063360101
oct3177702523274
9710381136114
10223322220220
118678a631470
12373461abb64
13180a0088c98
14ab476c8aa8
155c20bd1aea
hex33ff0aa6bc

223322220220 has 96 divisors (see below), whose sum is σ = 524308075200. Its totient is φ = 79194316800.

The previous prime is 223322220167. The next prime is 223322220223. The reversal of 223322220220 is 22022223322.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 223322220191 and 223322220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223322220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33993096 + ... + 33999664.

It is an arithmetic number, because the mean of its divisors is an integer number (5461542450).

Almost surely, 2223322220220 is an apocalyptic number.

223322220220 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 223322220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262154037600).

223322220220 is an abundant number, since it is smaller than the sum of its proper divisors (300985854980).

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

223322220220 is a wasteful number, since it uses less digits than its factorization.

223322220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 223322220220 its reverse (22022223322), we get a palindrome (245344443542).

The spelling of 223322220220 in words is "two hundred twenty-three billion, three hundred twenty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 3769 4510 6569 7538 9020 13138 15076 18845 26276 32845 37690 41459 65690 72259 75380 82918 131380 144518 154529 165836 207295 269329 289036 309058 361295 414590 538658 618116 722590 772645 829180 1077316 1346645 1445180 1545290 1699819 2693290 2962619 3090580 3399638 5386580 5925238 6799276 8499095 11850476 14813095 16998190 24758561 29626190 33996380 49517122 59252380 99034244 123792805 247585610 272344171 495171220 544688342 1015101001 1089376684 1361720855 2030202002 2723441710 4060404004 5075505005 5446883420 10151010010 11166111011 20302020020 22332222022 44664444044 55830555055 111661110110 223322220220