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204481900 = 225272291439
BaseRepresentation
bin11000011000000…
…10010101101100
3112020202202102201
430030002111230
5404321410100
632142431244
75032032100
oct1414022554
9466682381
10204481900
11a5474307
1258592524
133349630c
141d22b900
1512e4236a
hexc30256c

204481900 has 108 divisors (see below), whose sum is σ = 534340800. Its totient is φ = 67643520.

The previous prime is 204481867. The next prime is 204481909. The reversal of 204481900 is 9184402.

It is a super-2 number, since 2×2044819002 = 83625694855220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (204481909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141381 + ... + 142819.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2204481900 is an apocalyptic number.

204481900 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 204481900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400).

204481900 is an abundant number, since it is smaller than the sum of its proper divisors (329858900).

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

204481900 is a wasteful number, since it uses less digits than its factorization.

204481900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 204481900 is about 14299.7167804121. The cubic root of 204481900 is about 589.1397018451.

The spelling of 204481900 in words is "two hundred four million, four hundred eighty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 49 50 58 70 98 100 116 140 145 175 196 203 245 290 350 406 490 580 700 725 812 980 1015 1225 1421 1439 1450 2030 2450 2842 2878 2900 4060 4900 5075 5684 5756 7105 7195 10073 10150 14210 14390 20146 20300 28420 28780 35525 35975 40292 41731 50365 70511 71050 71950 83462 100730 141022 142100 143900 166924 201460 208655 251825 282044 292117 352555 417310 503650 584234 705110 834620 1007300 1043275 1168468 1410220 1460585 1762775 2044819 2086550 2921170 3525550 4089638 4173100 5842340 7051100 7302925 8179276 10224095 14605850 20448190 29211700 40896380 51120475 102240950 204481900