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213020220 = 223573116361
BaseRepresentation
bin11001011001001…
…10111000111100
3112211211112210210
430230212320330
5414013121340
633045432420
75164433130
oct1454467074
9484745723
10213020220
11aa276276
125b40b710
133519578a
14204113c0
1513a7c180
hexcb26e3c

213020220 has 96 divisors (see below), whose sum is σ = 703696896. Its totient is φ = 47116800.

The previous prime is 213020161. The next prime is 213020231. The reversal of 213020220 is 22020312.

It is a super-2 number, since 2×2130202202 = 90755228257696800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 213020196 and 213020205.

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, 4840 + ... + 21200.

It is an arithmetic number, because the mean of its divisors is an integer number (7330176).

Almost surely, 2213020220 is an apocalyptic number.

213020220 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 213020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351848448).

213020220 is an abundant number, since it is smaller than the sum of its proper divisors (490676676).

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

213020220 is a wasteful number, since it uses less digits than its factorization.

213020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16411 (or 16409 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 213020220 is about 14595.2122286728. The cubic root of 213020220 is about 597.2281589923.

Adding to 213020220 its reverse (22020312), we get a palindrome (235040532).

The spelling of 213020220 in words is "two hundred thirteen million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 6510 13020 16361 32722 49083 65444 81805 98166 114527 163610 196332 229054 245415 327220 343581 458108 490830 507191 572635 687162 981660 1014382 1145270 1374324 1521573 1717905 2028764 2290540 2535955 3043146 3435810 3550337 5071910 6086292 6871620 7100674 7607865 10143820 10651011 14201348 15215730 17751685 21302022 30431460 35503370 42604044 53255055 71006740 106510110 213020220