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544242200 = 235231412141
BaseRepresentation
bin100000011100000…
…111101000011000
31101221002100221112
4200130013220120
52103311222300
6130000555452
716325660645
oct4034075030
91357070845
10544242200
1125a235247
12132322b88
13889a5808
14523d0dcc
1532ba6e35
hex20707a18

544242200 has 96 divisors (see below), whose sum is σ = 1338664320. Its totient is φ = 205440000.

The previous prime is 544242191. The next prime is 544242211. The reversal of 544242200 is 2242445.

It is a congruent number.

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, 253130 + ... + 255270.

It is an arithmetic number, because the mean of its divisors is an integer number (13944420).

Almost surely, 2544242200 is an apocalyptic number.

544242200 is a gapful number since it is divisible by the number (50) 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 544242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669332160).

544242200 is an abundant number, since it is smaller than the sum of its proper divisors (794422120).

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

544242200 is a wasteful number, since it uses less digits than its factorization.

544242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 544242200 is about 23328.9991212654. Note that the first 3 decimals coincide. The cubic root of 544242200 is about 816.4521515343.

Adding to 544242200 its reverse (2242445), we get a palindrome (546484645).

The spelling of 544242200 in words is "five hundred forty-four million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 41 50 62 82 100 124 155 164 200 205 248 310 328 410 620 775 820 1025 1240 1271 1550 1640 2050 2141 2542 3100 4100 4282 5084 6200 6355 8200 8564 10168 10705 12710 17128 21410 25420 31775 42820 50840 53525 63550 66371 85640 87781 107050 127100 132742 175562 214100 254200 265484 331855 351124 428200 438905 530968 663710 702248 877810 1327420 1659275 1755620 2194525 2654840 2721211 3318550 3511240 4389050 5442422 6637100 8778100 10884844 13274200 13606055 17556200 21769688 27212110 54424220 68030275 108848440 136060550 272121100 544242200