Search a number
-
+
213573630 = 23523973191
BaseRepresentation
bin11001011101011…
…01111111111110
3112212212122221110
430232231333332
5414133324010
633105342450
75202226434
oct1456557776
9485778843
10213573630
11aa614036
125b637a26
133532a63a
1420516d54
1513b3b120
hexcbadffe

213573630 has 64 divisors (see below), whose sum is σ = 540546048. Its totient is φ = 53898240.

The previous prime is 213573629. The next prime is 213573637. The reversal of 213573630 is 36375312.

It is a super-2 number, since 2×2135736302 = 91227390862753800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213573637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65335 + ... + 68525.

It is an arithmetic number, because the mean of its divisors is an integer number (8446032).

Almost surely, 2213573630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213573630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270273024).

213573630 is an abundant number, since it is smaller than the sum of its proper divisors (326972418).

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

213573630 is a wasteful number, since it uses less digits than its factorization.

213573630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321.

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 213573630 is about 14614.1585457391. The cubic root of 213573630 is about 597.7448959058.

The spelling of 213573630 in words is "two hundred thirteen million, five hundred seventy-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 97 115 138 194 230 291 345 485 582 690 970 1455 2231 2910 3191 4462 6382 6693 9573 11155 13386 15955 19146 22310 31910 33465 47865 66930 73393 95730 146786 220179 309527 366965 440358 619054 733930 928581 1100895 1547635 1857162 2201790 3095270 4642905 7119121 9285810 14238242 21357363 35595605 42714726 71191210 106786815 213573630