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204020220 = 223529373169
BaseRepresentation
bin11000010100100…
…01100111111100
3112012220022010110
430022101213330
5404212121340
632124510020
75025100065
oct1412214774
9465808113
10204020220
11a5189458
12583ab310
1333364131
141d14b56c
1512da0680
hexc2919fc

204020220 has 96 divisors (see below), whose sum is σ = 607118400. Its totient is φ = 51093504.

The previous prime is 204020153. The next prime is 204020261. The reversal of 204020220 is 22020402.

It is a happy number.

204020220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 204020196 and 204020205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62796 + ... + 65964.

It is an arithmetic number, because the mean of its divisors is an integer number (6324150).

Almost surely, 2204020220 is an apocalyptic number.

204020220 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 204020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303559200).

204020220 is an abundant number, since it is smaller than the sum of its proper divisors (403098180).

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

204020220 is a wasteful number, since it uses less digits than its factorization.

204020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 204020220 is about 14283.5646811291. The cubic root of 204020220 is about 588.6959804567.

Adding to 204020220 its reverse (22020402), we get a palindrome (226040622).

The spelling of 204020220 in words is "two hundred four million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 37 58 60 74 87 111 116 145 148 174 185 222 290 348 370 435 444 555 580 740 870 1073 1110 1740 2146 2220 3169 3219 4292 5365 6338 6438 9507 10730 12676 12876 15845 16095 19014 21460 31690 32190 38028 47535 63380 64380 91901 95070 117253 183802 190140 234506 275703 351759 367604 459505 469012 551406 586265 703518 919010 1102812 1172530 1378515 1407036 1758795 1838020 2345060 2757030 3400337 3517590 5514060 6800674 7035180 10201011 13601348 17001685 20402022 34003370 40804044 51005055 68006740 102010110 204020220