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2223003222 = 2321123488143
BaseRepresentation
bin1000010010000000…
…0101011001010110
312201220222021010200
42010200011121112
514023042100342
61004330401330
7106042133646
oct20440053126
95656867120
102223003222
11a40911250
12520590246
13295726a2b
14171348526
15d026294c
hex84805656

2223003222 has 48 divisors (see below), whose sum is σ = 5482833408. Its totient is φ = 644347440.

The previous prime is 2223003203. The next prime is 2223003229.

2223003222 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22230032223 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2223003195 and 2223003204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223003229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239518 + ... + 248625.

It is an arithmetic number, because the mean of its divisors is an integer number (114225696).

Almost surely, 22223003222 is an apocalyptic number.

2223003222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2223003222 is an abundant number, since it is smaller than the sum of its proper divisors (3259830186).

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

2223003222 is a wasteful number, since it uses less digits than its factorization.

2223003222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488185 (or 488182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2223003222 is about 47148.7351049845. The cubic root of 2223003222 is about 1305.1087380216.

It can be divided in two parts, 222300 and 3222, that added together give a palindrome (225522).

The spelling of 2223003222 in words is "two billion, two hundred twenty-three million, three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 488143 976286 1464429 2928858 4393287 5369573 8786574 10739146 11227289 16108719 22454578 32217438 33681867 48326157 67363734 96652314 101045601 123500179 202091202 247000358 370500537 741001074 1111501611 2223003222