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13223620 = 22517192389
BaseRepresentation
bin110010011100…
…011011000100
3220212211101201
4302130123010
511341123440
61151232244
7220253554
oct62343304
926784351
1013223620
117512113
124518684
13297cc37
141a83164
15126319a
hexc9c6c4

13223620 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 4460544.

The previous prime is 13223593. The next prime is 13223629. The reversal of 13223620 is 2632231.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (13223629) 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 31 ways as a sum of consecutive naturals, for example, 148536 + ... + 148624.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 213223620 is an apocalyptic number.

13223620 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 13223620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

13223620 is an abundant number, since it is smaller than the sum of its proper divisors (19435580).

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

13223620 is a wasteful number, since it uses less digits than its factorization.

13223620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 13223620 is about 3636.4295675841. The cubic root of 13223620 is about 236.4740304655.

Adding to 13223620 its reverse (2632231), we get a palindrome (15855851).

The spelling of 13223620 in words is "thirteen million, two hundred twenty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 23 34 38 46 68 76 85 89 92 95 115 170 178 190 230 323 340 356 380 391 437 445 460 646 782 874 890 1292 1513 1564 1615 1691 1748 1780 1955 2047 2185 3026 3230 3382 3910 4094 4370 6052 6460 6764 7429 7565 7820 8188 8455 8740 10235 14858 15130 16910 20470 28747 29716 30260 33820 34799 37145 38893 40940 57494 69598 74290 77786 114988 139196 143735 148580 155572 173995 194465 287470 347990 388930 574940 661181 695980 777860 1322362 2644724 3305905 6611810 13223620