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206212020 = 223572321347
BaseRepresentation
bin11000100101010…
…00101110110100
3112101000122201020
430102220232310
5410242241040
632243501140
75052526140
oct1422505664
9471018636
10206212020
11a6446163
12590877b0
1333950961
141d55c220
1513184cd0
hexc4a8bb4

206212020 has 96 divisors (see below), whose sum is σ = 688601088. Its totient is φ = 45082752.

The previous prime is 206211991. The next prime is 206212049. The reversal of 206212020 is 20212602.

It is an interprime number because it is at equal distance from previous prime (206211991) and next prime (206212049).

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

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 31 ways as a sum of consecutive naturals, for example, 1014 + ... + 20333.

It is an arithmetic number, because the mean of its divisors is an integer number (7172928).

Almost surely, 2206212020 is an apocalyptic number.

206212020 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 206212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344300544).

206212020 is an abundant number, since it is smaller than the sum of its proper divisors (482389068).

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

206212020 is a wasteful number, since it uses less digits than its factorization.

206212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21389 (or 21387 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 206212020 is about 14360.0842615912. The cubic root of 206212020 is about 590.7966066113.

Adding to 206212020 its reverse (20212602), we get a palindrome (226424622).

It can be divided in two parts, 206 and 212020, that added together give a triangular number (212226 = T651).

The spelling of 206212020 in words is "two hundred six million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 21347 42694 64041 85388 106735 128082 149429 213470 256164 298858 320205 426940 448287 490981 597716 640410 747145 896574 981962 1280820 1472943 1494290 1793148 1963924 2241435 2454905 2945886 2988580 3436867 4482870 4909810 5891772 6873734 7364715 8965740 9819620 10310601 13747468 14729430 17184335 20621202 29458860 34368670 41242404 51553005 68737340 103106010 206212020