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55231200 = 2533522557
BaseRepresentation
bin1101001010110…
…0001011100000
310211221000222000
43102230023200
5103114344300
65251444000
71240312623
oct322541340
9124830860
1055231200
11291a4022
12165b6600
13b59a4ab
147499dba
154caec00
hex34ac2e0

55231200 has 144 divisors (see below), whose sum is σ = 199830960. Its totient is φ = 14722560.

The previous prime is 55231199. The next prime is 55231201. The reversal of 55231200 is 213255.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55231199) and next prime (55231201).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55231201) by changing a digit.

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, 20322 + ... + 22878.

It is an arithmetic number, because the mean of its divisors is an integer number (1387715).

Almost surely, 255231200 is an apocalyptic number.

55231200 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 55231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99915480).

55231200 is an abundant number, since it is smaller than the sum of its proper divisors (144599760).

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

55231200 is a wasteful number, since it uses less digits than its factorization.

55231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55231200 is about 7431.7696412093. The cubic root of 55231200 is about 380.8273754535.

Adding to 55231200 its reverse (213255), we get a palindrome (55444455).

The spelling of 55231200 in words is "fifty-five million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2557 2700 3600 4320 5114 5400 7200 7671 10228 10800 12785 15342 20456 21600 23013 25570 30684 38355 40912 46026 51140 61368 63925 69039 76710 81824 92052 102280 115065 122736 127850 138078 153420 184104 191775 204560 230130 245472 255700 276156 306840 345195 368208 383550 409120 460260 511400 552312 575325 613680 690390 736416 767100 920520 1022800 1104624 1150650 1227360 1380780 1534200 1725975 1841040 2045600 2209248 2301300 2761560 3068400 3451950 3682080 4602600 5523120 6136800 6903900 9205200 11046240 13807800 18410400 27615600 55231200