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213622020 = 223251186789
BaseRepresentation
bin11001011101110…
…01110100000100
3112212222010022200
430232321310010
5414141401040
633110354500
75202520503
oct1456716404
9485863280
10213622020
11aa647427
125b65ba30
1335346681
142052a83a
1513b4a630
hexcbb9d04

213622020 has 36 divisors (see below), whose sum is σ = 647987340. Its totient is φ = 56965824.

The previous prime is 213622009. The next prime is 213622021. The reversal of 213622020 is 20226312.

213622020 is a `hidden beast` number, since 21 + 3 + 622 + 0 + 20 = 666.

213622020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 148206276 = 8088^2 + 12174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213621984 and 213622002.

It is not an unprimeable number, because it can be changed into a prime (213622021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 593215 + ... + 593574.

Almost surely, 2213622020 is an apocalyptic number.

213622020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213622020 is an abundant number, since it is smaller than the sum of its proper divisors (434365320).

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

213622020 is a wasteful number, since it uses less digits than its factorization.

213622020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186804 (or 1186799 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213622020 is about 14615.8140382259. The cubic root of 213622020 is about 597.7900367646.

Adding to 213622020 its reverse (20226312), we get a palindrome (233848332).

The spelling of 213622020 in words is "two hundred thirteen million, six hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1186789 2373578 3560367 4747156 5933945 7120734 10681101 11867890 14241468 17801835 21362202 23735780 35603670 42724404 53405505 71207340 106811010 213622020