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204521100 = 223527213913
BaseRepresentation
bin11000011000010…
…11111010001100
3112020211202012120
430030023322030
5404324133400
632143332540
75032254300
oct1414137214
9466752176
10204521100
11a54a0803
12585b1150
13334ab104
141d23bd00
1512e4dca0
hexc30be8c

204521100 has 108 divisors (see below), whose sum is σ = 688409064. Its totient is φ = 46744320.

The previous prime is 204521099. The next prime is 204521123. The reversal of 204521100 is 1125402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204521100.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 7744 + ... + 21656.

It is an arithmetic number, because the mean of its divisors is an integer number (6374158).

Almost surely, 2204521100 is an apocalyptic number.

204521100 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 204521100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344204532).

204521100 is an abundant number, since it is smaller than the sum of its proper divisors (483887964).

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

204521100 is a wasteful number, since it uses less digits than its factorization.

204521100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13944 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 204521100 is about 14301.0873712456. The cubic root of 204521100 is about 589.1773462539.

Adding to 204521100 its reverse (1125402), we get a palindrome (205646502).

The spelling of 204521100 in words is "two hundred four million, five hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 13913 14700 27826 41739 55652 69565 83478 97391 139130 166956 194782 208695 278260 292173 347825 389564 417390 486955 584346 681737 695650 834780 973910 1043475 1168692 1363474 1391300 1460865 1947820 2045211 2086950 2434775 2726948 2921730 3408685 4090422 4173900 4869550 5843460 6817370 7304325 8180844 9739100 10226055 13634740 14608650 17043425 20452110 29217300 34086850 40904220 51130275 68173700 102260550 204521100