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56220000 = 25354937
BaseRepresentation
bin1101011001110…
…1100101100000
310220210021100020
43112131211200
5103343020000
65324553440
71251601464
oct326354540
9126707306
1056220000
1129809a11
12169b2880
13b855595
1476764a4
154e07ba0
hex359d960

56220000 has 120 divisors (see below), whose sum is σ = 184609656. Its totient is φ = 14976000.

The previous prime is 56219987. The next prime is 56220007. The reversal of 56220000 is 2265.

56220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56220007) 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 19 ways as a sum of consecutive naturals, for example, 59532 + ... + 60468.

Almost surely, 256220000 is an apocalyptic number.

56220000 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 56220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92304828).

56220000 is an abundant number, since it is smaller than the sum of its proper divisors (128389656).

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

56220000 is an equidigital number, since it uses as much as digits as its factorization.

56220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 56220000 is about 7497.9997332622. Note that the first 3 decimals coincide. The cubic root of 56220000 is about 383.0865876896.

Adding to 56220000 its reverse (2265), we get a palindrome (56222265).

The spelling of 56220000 in words is "fifty-six million, two hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 937 1000 1200 1250 1500 1874 1875 2000 2400 2500 2811 3000 3748 3750 4000 4685 5000 5622 6000 7496 7500 9370 10000 11244 12000 14055 14992 15000 18740 20000 22488 23425 28110 29984 30000 37480 44976 46850 56220 60000 70275 74960 89952 93700 112440 117125 140550 149920 187400 224880 234250 281100 351375 374800 449760 468500 562200 585625 702750 749600 937000 1124400 1171250 1405500 1756875 1874000 2248800 2342500 2811000 3513750 3748000 4685000 5622000 7027500 9370000 11244000 14055000 18740000 28110000 56220000