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213165030 = 23513619883
BaseRepresentation
bin11001011010010…
…10001111100110
3112212002220110010
430231022033212
5414032240110
633052511050
75165605251
oct1455121746
9485086403
10213165030
11aa365051
125b47b486
1335216670
142044c098
1513aaa020
hexcb4a3e6

213165030 has 64 divisors (see below), whose sum is σ = 552464640. Its totient is φ = 52327296.

The previous prime is 213165011. The next prime is 213165041. The reversal of 213165030 is 30561312.

213165030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213164988 and 213165006.

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, 240969 + ... + 241851.

It is an arithmetic number, because the mean of its divisors is an integer number (8632260).

Almost surely, 2213165030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213165030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276232320).

213165030 is an abundant number, since it is smaller than the sum of its proper divisors (339299610).

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

213165030 is a wasteful number, since it uses less digits than its factorization.

213165030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 213165030 is about 14600.1722592578. The cubic root of 213165030 is about 597.3634591684.

It can be divided in two parts, 2131 and 65030, that added together give a triangular number (67161 = T366).

The spelling of 213165030 in words is "two hundred thirteen million, one hundred sixty-five thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 619 883 1238 1766 1857 2649 3095 3714 4415 5298 6190 8047 8830 9285 11479 13245 16094 18570 22958 24141 26490 34437 40235 48282 57395 68874 80470 114790 120705 172185 241410 344370 546577 1093154 1639731 2732885 3279462 5465770 7105501 8198655 14211002 16397310 21316503 35527505 42633006 71055010 106582515 213165030