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206404420 = 22559211829
BaseRepresentation
bin11000100110101…
…11101101000100
3112101101102122011
430103113231010
5410314420140
632251544004
75054260105
oct1423275504
9471342564
10206404420
11a6567772
125915b004
13339ba3c1
141d5ac3ac
15131c1cea
hexc4d7b44

206404420 has 48 divisors (see below), whose sum is σ = 443419200. Its totient is φ = 80680320.

The previous prime is 206404409. The next prime is 206404423. The reversal of 206404420 is 24404602.

206404420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 206404391 and 206404400.

It is not an unprimeable number, because it can be changed into a prime (206404423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248566 + ... + 249394.

It is an arithmetic number, because the mean of its divisors is an integer number (9237900).

Almost surely, 2206404420 is an apocalyptic number.

206404420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206404420 is an abundant number, since it is smaller than the sum of its proper divisors (237014780).

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

206404420 is a wasteful number, since it uses less digits than its factorization.

206404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 206404420 is about 14366.7818247512. The cubic root of 206404420 is about 590.9802912376.

The spelling of 206404420 in words is "two hundred six million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 59 118 211 236 295 422 590 829 844 1055 1180 1658 2110 3316 4145 4220 8290 12449 16580 24898 48911 49796 62245 97822 124490 174919 195644 244555 248980 349838 489110 699676 874595 978220 1749190 3498380 10320221 20640442 41280884 51601105 103202210 206404420