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220104200 = 235229137277
BaseRepresentation
bin11010001111010…
…00011000001000
3120100011110012102
431013220120020
5422321313300
633501332532
75311566131
oct1507503010
9510143172
10220104200
111032745a8
1261867148
13367a5c94
1421336c88
15144cb0d5
hexd1e8608

220104200 has 96 divisors (see below), whose sum is σ = 535177800. Its totient is φ = 84080640.

The previous prime is 220104197. The next prime is 220104221. The reversal of 220104200 is 2401022.

It can be written as a sum of positive squares in 12 ways, for example, as 3602404 + 216501796 = 1898^2 + 14714^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 794462 + ... + 794738.

Almost surely, 2220104200 is an apocalyptic number.

220104200 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 220104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267588900).

220104200 is an abundant number, since it is smaller than the sum of its proper divisors (315073600).

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

220104200 is a wasteful number, since it uses less digits than its factorization.

220104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 220104200 is about 14835.9091396517. The cubic root of 220104200 is about 603.7763670727.

Adding to 220104200 its reverse (2401022), we get a palindrome (222505222).

The spelling of 220104200 in words is "two hundred twenty million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 137 145 200 232 274 277 290 548 554 580 685 725 1096 1108 1160 1370 1385 1450 2216 2740 2770 2900 3425 3973 5480 5540 5800 6850 6925 7946 8033 11080 13700 13850 15892 16066 19865 27400 27700 31784 32132 37949 39730 40165 55400 64264 75898 79460 80330 99325 151796 158920 160660 189745 198650 200825 303592 321320 379490 397300 401650 758980 794600 803300 948725 1100521 1517960 1606600 1897450 2201042 3794900 4402084 5502605 7589800 8804168 11005210 22010420 27513025 44020840 55026050 110052100 220104200