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32223012 = 22319314797
BaseRepresentation
bin111101011101…
…0111100100100
32020122002122220
41322322330210
531222114022
63110352340
7540614433
oct172727444
966562586
1032223012
1117209698
12a95b6b0
1368a2a93
1443cb11a
152c6785c
hex1ebaf24

32223012 has 96 divisors (see below), whose sum is σ = 84295680. Its totient is φ = 9538560.

The previous prime is 32223011. The next prime is 32223013. The reversal of 32223012 is 21032223.

It is an interprime number because it is at equal distance from previous prime (32223011) and next prime (32223013).

It is a junction number, because it is equal to n+sod(n) for n = 32222982 and 32223000.

It is not an unprimeable number, because it can be changed into a prime (32223011) 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, 332148 + ... + 332244.

It is an arithmetic number, because the mean of its divisors is an integer number (878080).

Almost surely, 232223012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42147840).

32223012 is an abundant number, since it is smaller than the sum of its proper divisors (52072668).

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

32223012 is a wasteful number, since it uses less digits than its factorization.

32223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 32223012 is about 5676.5316875712. The cubic root of 32223012 is about 318.2160234643.

Adding to 32223012 its reverse (21032223), we get a palindrome (53255235).

The spelling of 32223012 in words is "thirty-two million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 19 31 38 47 57 62 76 93 94 97 114 124 141 186 188 194 228 282 291 372 388 564 582 589 893 1164 1178 1457 1767 1786 1843 2356 2679 2914 3007 3534 3572 3686 4371 4559 5358 5529 5828 6014 7068 7372 8742 9021 9118 10716 11058 12028 13677 17484 18042 18236 22116 27354 27683 36084 54708 55366 57133 83049 86621 110732 114266 141329 166098 171399 173242 228532 259863 282658 332196 342798 346484 423987 519726 565316 685596 847974 1039452 1695948 2685251 5370502 8055753 10741004 16111506 32223012