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213323220 = 223451111971
BaseRepresentation
bin11001011011100…
…00110111010100
3112212101221110000
430231300313110
5414102320340
633100131300
75200134405
oct1455606724
9485357400
10213323220
11aa462990
125b536b30
1335270676
142048d9ac
1513adbd30
hexcb70dd4

213323220 has 120 divisors (see below), whose sum is σ = 730100448. Its totient is φ = 51710400.

The previous prime is 213323213. The next prime is 213323233. The reversal of 213323220 is 22323312.

It is a happy number.

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 = 213323193 and 213323202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11835 + ... + 23805.

Almost surely, 2213323220 is an apocalyptic number.

213323220 is a gapful number since it is divisible by the number (20) 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 213323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365050224).

213323220 is an abundant number, since it is smaller than the sum of its proper divisors (516777228).

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

213323220 is a wasteful number, since it uses less digits than its factorization.

213323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003 (or 11992 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 213323220 is about 14605.5886564014. The cubic root of 213323220 is about 597.5111906542.

Adding to 213323220 its reverse (22323312), we get a palindrome (235646532).

The spelling of 213323220 in words is "two hundred thirteen million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 11971 17820 23942 35913 47884 59855 71826 107739 119710 131681 143652 179565 215478 239420 263362 323217 359130 395043 430956 526724 538695 646434 658405 718260 790086 969651 1077390 1185129 1292868 1316810 1580172 1616085 1939302 1975215 2154780 2370258 2633620 3232170 3555387 3878604 3950430 4740516 4848255 5925645 6464340 7110774 7900860 9696510 10666161 11851290 14221548 17776935 19393020 21332322 23702580 35553870 42664644 53330805 71107740 106661610 213323220