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213223320 = 233351910391
BaseRepresentation
bin11001011010110…
…00011110011000
3112212012212102000
430231120132120
5414041121240
633054041000
75166240222
oct1455303630
9485185360
10213223320
11aa3a4922
125b4a9160
133523705b
1420465412
1513abc430
hexcb58798

213223320 has 128 divisors (see below), whose sum is σ = 748224000. Its totient is φ = 53861760.

The previous prime is 213223313. The next prime is 213223343. The reversal of 213223320 is 23322312.

It is a happy number.

213223320 is a `hidden beast` number, since 21 + 322 + 3 + 320 = 666.

213223320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 213223293 and 213223302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15325 + ... + 25715.

It is an arithmetic number, because the mean of its divisors is an integer number (5845500).

Almost surely, 2213223320 is an apocalyptic number.

213223320 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 213223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374112000).

213223320 is an abundant number, since it is smaller than the sum of its proper divisors (535000680).

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

213223320 is a wasteful number, since it uses less digits than its factorization.

213223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10430 (or 10420 counting only the distinct ones).

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

The square root of 213223320 is about 14602.1683321348. The cubic root of 213223320 is about 597.4179039065.

Adding to 213223320 its reverse (23322312), we get a palindrome (236545632).

It can be divided in two parts, 21322 and 3320, that added together give a palindrome (24642).

The spelling of 213223320 in words is "two hundred thirteen million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 10391 20520 20782 31173 41564 51955 62346 83128 93519 103910 124692 155865 187038 197429 207820 249384 280557 311730 374076 394858 415640 467595 561114 592287 623460 748152 789716 935190 987145 1122228 1184574 1246920 1402785 1579432 1776861 1870380 1974290 2244456 2369148 2805570 2961435 3553722 3740760 3948580 4738296 5330583 5611140 5922870 7107444 7897160 8884305 10661166 11222280 11845740 14214888 17768610 21322332 23691480 26652915 35537220 42644664 53305830 71074440 106611660 213223320