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164211030 = 23352331853
BaseRepresentation
bin10011100100110…
…10100101010110
3102102222210012000
421302122211112
5314014223110
624143340130
74032525234
oct1162324526
9372883160
10164211030
11847691a5
1246bb1646
13280363b9
1417b47954
15e63a1c0
hex9c9a956

164211030 has 128 divisors (see below), whose sum is σ = 472227840. Its totient is φ = 40487040.

The previous prime is 164210993. The next prime is 164211031. The reversal of 164211030 is 30112461.

It is a happy number.

164211030 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 = 164210994 and 164211012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164211031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192084 + ... + 192936.

It is an arithmetic number, because the mean of its divisors is an integer number (3689280).

Almost surely, 2164211030 is an apocalyptic number.

164211030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164211030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236113920).

164211030 is an abundant number, since it is smaller than the sum of its proper divisors (308016810).

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

164211030 is a wasteful number, since it uses less digits than its factorization.

164211030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164211030 is about 12814.4851632830. The cubic root of 164211030 is about 547.6050464605.

Adding to 164211030 its reverse (30112461), we get a palindrome (194323491).

The spelling of 164211030 in words is "one hundred sixty-four million, two hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 31 45 46 54 62 69 90 93 115 135 138 155 186 207 230 270 279 310 345 414 465 558 621 690 713 837 853 930 1035 1242 1395 1426 1674 1706 2070 2139 2559 2790 3105 3565 4185 4265 4278 5118 6210 6417 7130 7677 8370 8530 10695 12795 12834 15354 19251 19619 21390 23031 25590 26443 32085 38385 38502 39238 46062 52886 58857 64170 76770 79329 96255 98095 115155 117714 132215 158658 176571 192510 196190 230310 237987 264430 294285 353142 396645 475974 529713 588570 608189 713961 793290 882855 1059426 1189935 1216378 1427922 1765710 1824567 2379870 2648565 3040945 3569805 3649134 5297130 5473701 6081890 7139610 9122835 10947402 16421103 18245670 27368505 32842206 54737010 82105515 164211030