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203274100 = 2252171091097
BaseRepresentation
bin11000001110110…
…11011101110100
3112011111101122101
430013123131310
5404014232400
632100511444
75015541601
oct1407333564
9464441571
10203274100
11a4819927
12580ab584
1333162643
141cdd56a8
1512ca456a
hexc1db774

203274100 has 72 divisors (see below), whose sum is σ = 471766680. Its totient is φ = 75755520.

The previous prime is 203274091. The next prime is 203274139. The reversal of 203274100 is 1472302.

It can be written as a sum of positive squares in 12 ways, for example, as 30404196 + 172869904 = 5514^2 + 13148^2 .

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, 184752 + ... + 185848.

It is an arithmetic number, because the mean of its divisors is an integer number (6552315).

Almost surely, 2203274100 is an apocalyptic number.

203274100 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 203274100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235883340).

203274100 is an abundant number, since it is smaller than the sum of its proper divisors (268492580).

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

203274100 is a wasteful number, since it uses less digits than its factorization.

203274100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 203274100 is about 14257.4226282312. The cubic root of 203274100 is about 587.9774660869.

The spelling of 203274100 in words is "two hundred three million, two hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 109 170 218 340 425 436 545 850 1090 1097 1700 1853 2180 2194 2725 3706 4388 5450 5485 7412 9265 10900 10970 18530 18649 21940 27425 37060 37298 46325 54850 74596 92650 93245 109700 119573 185300 186490 239146 372980 466225 478292 597865 932450 1195730 1864900 2032741 2391460 2989325 4065482 5978650 8130964 10163705 11957300 20327410 40654820 50818525 101637050 203274100