Search a number
-
+
213202220 = 225711167829
BaseRepresentation
bin11001011010100…
…11010100101100
3112212011210110112
430231103110230
5414034432340
633053355152
75166121550
oct1455232454
9485153415
10213202220
11aa38aa90
125b498ab8
133522a57a
142045b860
1513ab6065
hexcb5352c

213202220 has 96 divisors (see below), whose sum is σ = 562222080. Its totient is φ = 65975040.

The previous prime is 213202181. The next prime is 213202247. The reversal of 213202220 is 22202312.

213202220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2132022202 = 90910373225856800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 213202195 and 213202204.

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, 256766 + ... + 257594.

It is an arithmetic number, because the mean of its divisors is an integer number (5856480).

Almost surely, 2213202220 is an apocalyptic number.

213202220 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 213202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281111040).

213202220 is an abundant number, since it is smaller than the sum of its proper divisors (349019860).

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

213202220 is a wasteful number, since it uses less digits than its factorization.

213202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 213202220 is about 14601.4458188222. The cubic root of 213202220 is about 597.3981969726.

Adding to 213202220 its reverse (22202312), we get a palindrome (235404532).

The spelling of 213202220 in words is "two hundred thirteen million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 167 220 308 334 385 668 770 829 835 1169 1540 1658 1670 1837 2338 3316 3340 3674 4145 4676 5803 5845 7348 8290 9119 9185 11606 11690 12859 16580 18238 18370 23212 23380 25718 29015 36476 36740 45595 51436 58030 63833 64295 91190 116060 127666 128590 138443 182380 255332 257180 276886 319165 553772 638330 692215 969101 1276660 1384430 1522873 1938202 2768860 3045746 3876404 4845505 6091492 7614365 9691010 10660111 15228730 19382020 21320222 30457460 42640444 53300555 106601110 213202220