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213222030 = 23572314679
BaseRepresentation
bin11001011010110…
…00001010001110
3112212012210122020
430231120022032
5414041101110
633054031010
75166233400
oct1455301216
9485183566
10213222030
11aa3a395a
125b4a8466
13352365a8
1420464b70
1513abbd70
hexcb5828e

213222030 has 96 divisors (see below), whose sum is σ = 614615040. Its totient is φ = 47154240.

The previous prime is 213222013. The next prime is 213222049. The reversal of 213222030 is 30222312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43231 + ... + 47909.

It is an arithmetic number, because the mean of its divisors is an integer number (6402240).

Almost surely, 2213222030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213222030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307307520).

213222030 is an abundant number, since it is smaller than the sum of its proper divisors (401393010).

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

213222030 is a wasteful number, since it uses less digits than its factorization.

213222030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 213222030 is about 14602.1241605460. The cubic root of 213222030 is about 597.4166991123.

Adding to 213222030 its reverse (30222312), we get a palindrome (243444342).

The spelling of 213222030 in words is "two hundred thirteen million, two hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 434 465 490 651 735 930 1085 1302 1470 1519 2170 3038 3255 4557 4679 6510 7595 9114 9358 14037 15190 22785 23395 28074 32753 45570 46790 65506 70185 98259 140370 145049 163765 196518 229271 290098 327530 435147 458542 491295 687813 725245 870294 982590 1015343 1146355 1375626 1450490 2030686 2175735 2292710 3046029 3439065 4351470 5076715 6092058 6878130 7107401 10153430 14214802 15230145 21322203 30460290 35537005 42644406 71074010 106611015 213222030