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212413020 = 223513725841
BaseRepresentation
bin11001010100100…
…10101001011100
3112210200200212220
430222102221130
5413334204040
633024425340
75156323641
oct1452225134
9483620786
10212413020
11a99a1056
125b178250
13350122a1
14202d3dc8
15139ac2d0
hexca92a5c

212413020 has 48 divisors (see below), whose sum is σ = 599120928. Its totient is φ = 56227840.

The previous prime is 212413013. The next prime is 212413037. The reversal of 212413020 is 20314212.

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 15 ways as a sum of consecutive naturals, for example, 4701 + ... + 21140.

It is an arithmetic number, because the mean of its divisors is an integer number (12481686).

Almost surely, 2212413020 is an apocalyptic number.

212413020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212413020 is an abundant number, since it is smaller than the sum of its proper divisors (386707908).

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

212413020 is a wasteful number, since it uses less digits than its factorization.

212413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25990 (or 25988 counting only the distinct ones).

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

The square root of 212413020 is about 14574.3960423751. The cubic root of 212413020 is about 596.6601658971.

Adding to 212413020 its reverse (20314212), we get a palindrome (232727232).

The spelling of 212413020 in words is "two hundred twelve million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 25841 51682 77523 103364 129205 155046 258410 310092 387615 516820 775230 1550460 3540217 7080434 10620651 14160868 17701085 21241302 35402170 42482604 53103255 70804340 106206510 212413020