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2104223200 = 255259109409
BaseRepresentation
bin111110101101011…
…1110010111100000
312102122110121120121
41331122332113200
513302140120300
6544444450024
7103100413342
oct17532762740
95378417517
102104223200
1198a863042
124a8849914
13276c391b1
1415d669292
15c4aed81a
hex7d6be5e0

2104223200 has 144 divisors (see below), whose sum is σ = 5284818000. Its totient is φ = 817827840.

The previous prime is 2104223171. The next prime is 2104223273. The reversal of 2104223200 is 23224012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5144596 + ... + 5145004.

It is an arithmetic number, because the mean of its divisors is an integer number (36700125).

Almost surely, 22104223200 is an apocalyptic number.

2104223200 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 2104223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642409000).

2104223200 is an abundant number, since it is smaller than the sum of its proper divisors (3180594800).

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

2104223200 is a wasteful number, since it uses less digits than its factorization.

2104223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2104223200 is about 45871.8126958157. The cubic root of 2104223200 is about 1281.4370254051.

Adding to 2104223200 its reverse (23224012), we get a palindrome (2127447212).

The spelling of 2104223200 in words is "two billion, one hundred four million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 109 118 160 200 218 236 295 400 409 436 472 545 590 800 818 872 944 1090 1180 1475 1636 1744 1888 2045 2180 2360 2725 2950 3272 3488 4090 4360 4720 5450 5900 6431 6544 8180 8720 9440 10225 10900 11800 12862 13088 16360 17440 20450 21800 23600 24131 25724 32155 32720 40900 43600 44581 47200 48262 51448 64310 65440 81800 87200 89162 96524 102896 120655 128620 160775 163600 178324 193048 205792 222905 241310 257240 321550 327200 356648 386096 445810 482620 514480 603275 643100 713296 772192 891620 965240 1028960 1114525 1206550 1286200 1426592 1783240 1930480 2229050 2413100 2572400 2630279 3566480 3860960 4458100 4826200 5144800 5260558 7132960 8916200 9652400 10521116 13151395 17832400 19304800 21042232 26302790 35664800 42084464 52605580 65756975 84168928 105211160 131513950 210422320 263027900 420844640 526055800 1052111600 2104223200