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204045100 = 22527319403
BaseRepresentation
bin11000010100101…
…11101100101100
3112012221120020221
430022113230230
5404213420400
632125221124
75025232450
oct1412275454
9465846227
10204045100
11a51a6116
12584017a4
133337255c
141d156660
1512da7c1a
hexc297b2c

204045100 has 72 divisors (see below), whose sum is σ = 522411008. Its totient is φ = 67694400.

The previous prime is 204045097. The next prime is 204045113. The reversal of 204045100 is 1540402.

204045100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16999 + ... + 26401.

Almost surely, 2204045100 is an apocalyptic number.

204045100 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 204045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261205504).

204045100 is an abundant number, since it is smaller than the sum of its proper divisors (318365908).

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

204045100 is a wasteful number, since it uses less digits than its factorization.

204045100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9455 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 204045100 is about 14284.4355856296. The cubic root of 204045100 is about 588.7199097199.

Adding to 204045100 its reverse (1540402), we get a palindrome (205585502).

The spelling of 204045100 in words is "two hundred four million, forty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 9403 10850 18806 21700 37612 47015 65821 94030 131642 188060 235075 263284 291493 329105 470150 582986 658210 940300 1165972 1316420 1457465 1645525 2040451 2914930 3291050 4080902 5829860 6582100 7287325 8161804 10202255 14574650 20404510 29149300 40809020 51011275 102022550 204045100