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204062220 = 223351722229
BaseRepresentation
bin11000010100110…
…11111000001100
3112012222102202000
430022123320030
5404214442340
632125432300
75025333405
oct1412337014
9465872660
10204062220
11a5207a6a
125840b690
133337a29b
141d15c9ac
1512dacd30
hexc29be0c

204062220 has 96 divisors (see below), whose sum is σ = 672235200. Its totient is φ = 51213312.

The previous prime is 204062213. The next prime is 204062227. The reversal of 204062220 is 22260402.

It is a happy number.

204062220 is a `hidden beast` number, since 2 + 0 + 40 + 622 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (204062213) and next prime (204062227).

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 = 204062193 and 204062202.

It is not an unprimeable number, because it can be changed into a prime (204062227) by changing a digit.

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, 1935 + ... + 20294.

It is an arithmetic number, because the mean of its divisors is an integer number (7002450).

Almost surely, 2204062220 is an apocalyptic number.

204062220 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 204062220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

204062220 is an abundant number, since it is smaller than the sum of its proper divisors (468172980).

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

204062220 is a wasteful number, since it uses less digits than its factorization.

204062220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22264 (or 22256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204062220 is about 14285.0348266989. The cubic root of 204062220 is about 588.7363743855.

The spelling of 204062220 in words is "two hundred four million, sixty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 22229 44458 66687 88916 111145 133374 200061 222290 266748 333435 377893 400122 444580 600183 666870 755786 800244 1000305 1133679 1200366 1333740 1511572 1889465 2000610 2267358 2400732 3000915 3401037 3778930 4001220 4534716 5668395 6001830 6802074 7557860 10203111 11336790 12003660 13604148 17005185 20406222 22673580 34010370 40812444 51015555 68020740 102031110 204062220