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12223320 = 2335372753
BaseRepresentation
bin101110101000…
…001101011000
3212000000020120
4232220031120
511112121240
61113553240
7205616334
oct56501530
925000216
1012223320
11699961a
124115820
1326bc845
1418a27c4
151116ad0
hexba8358

12223320 has 64 divisors (see below), whose sum is σ = 37674720. Its totient is φ = 3170304.

The previous prime is 12223313. The next prime is 12223381. The reversal of 12223320 is 2332221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12223320.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3064 + ... + 5816.

Almost surely, 212223320 is an apocalyptic number.

12223320 is a gapful number since it is divisible by the number (10) 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 12223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837360).

12223320 is an abundant number, since it is smaller than the sum of its proper divisors (25451400).

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

12223320 is a wasteful number, since it uses less digits than its factorization.

12223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2800 counting only the distinct ones).

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

The square root of 12223320 is about 3496.1864938816. The cubic root of 12223320 is about 230.3543372567.

Adding to 12223320 its reverse (2332221), we get a palindrome (14555541).

The spelling of 12223320 in words is "twelve million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 2753 4440 5506 8259 11012 13765 16518 22024 27530 33036 41295 55060 66072 82590 101861 110120 165180 203722 305583 330360 407444 509305 611166 814888 1018610 1222332 1527915 2037220 2444664 3055830 4074440 6111660 12223320