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55224120 = 23357292267
BaseRepresentation
bin1101001010101…
…0011100111000
310211220200020210
43102222130320
5103114132440
65251351120
71240253160
oct322523470
9124820223
1055224120
1129199776
12165b24a0
13b5971c3
1474975a0
154caca80
hex34aa738

55224120 has 128 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 12182016.

The previous prime is 55224119. The next prime is 55224121. The reversal of 55224120 is 2142255.

It is a happy number.

55224120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55224119) and next prime (55224121).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55224121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23227 + ... + 25493.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 255224120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

55224120 is an abundant number, since it is smaller than the sum of its proper divisors (140731080).

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

55224120 is a wasteful number, since it uses less digits than its factorization.

55224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 55224120 is about 7431.2932925568. The cubic root of 55224120 is about 380.8111022056.

Adding to 55224120 its reverse (2142255), we get a palindrome (57366375).

The spelling of 55224120 in words is "fifty-five million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2267 2436 3045 3480 4060 4534 4872 6090 6801 8120 9068 11335 12180 13602 15869 18136 22670 24360 27204 31738 34005 45340 47607 54408 63476 65743 68010 79345 90680 95214 126952 131486 136020 158690 190428 197229 238035 262972 272040 317380 328715 380856 394458 460201 476070 525944 634760 657430 788916 920402 952140 986145 1314860 1380603 1577832 1840804 1904280 1972290 2301005 2629720 2761206 3681608 3944580 4602010 5522412 6903015 7889160 9204020 11044824 13806030 18408040 27612060 55224120