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8223012 = 2233773149
BaseRepresentation
bin11111010111100100100100
3120110202212000
4133113210210
54101114022
6452125300
7126615540
oct37274444
916422760
108223012
114707086
122906830
13191bab5
141140a20
15ac66ac
hex7d7924

8223012 has 96 divisors (see below), whose sum is σ = 24864000. Its totient is φ = 2301696.

The previous prime is 8222999. The next prime is 8223013. The reversal of 8223012 is 2103228.

Added to its reverse (2103228) it gives a triangular number (10326240 = T4544).

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8223013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55114 + ... + 55262.

It is an arithmetic number, because the mean of its divisors is an integer number (259000).

Almost surely, 28223012 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 8223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432000).

8223012 is an abundant number, since it is smaller than the sum of its proper divisors (16640988).

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

8223012 is a wasteful number, since it uses less digits than its factorization.

8223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8223012 is about 2867.5794670767. The cubic root of 8223012 is about 201.8414270323.

Adding to 8223012 its reverse (2103228), we get a triangular number (10326240 = T4544).

The spelling of 8223012 in words is "eight million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 149 189 219 252 292 298 378 438 447 511 596 657 756 876 894 1022 1043 1314 1341 1533 1788 1971 2044 2086 2628 2682 3066 3129 3942 4023 4172 4599 5364 6132 6258 7884 8046 9198 9387 10877 12516 13797 16092 18396 18774 21754 27594 28161 32631 37548 43508 55188 56322 65262 76139 97893 112644 130524 152278 195786 228417 293679 304556 391572 456834 587358 685251 913668 1174716 1370502 2055753 2741004 4111506 8223012