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56223120 = 2435317739
BaseRepresentation
bin1101011001111…
…0010110010000
310220210102121210
43112132112100
5103343114440
65325020120
71251613542
oct326362620
9126712553
1056223120
1129811298
12169b4640
13b856b25
147677692
154e08a80
hex359e590

56223120 has 80 divisors (see below), whose sum is σ = 175078080. Its totient is φ = 14925312.

The previous prime is 56223103. The next prime is 56223127. The reversal of 56223120 is 2132265.

56223120 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 (80).

It is a super-2 number, since 2×562231202 = 6322078445068800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56223127) 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 15 ways as a sum of consecutive naturals, for example, 75711 + ... + 76449.

It is an arithmetic number, because the mean of its divisors is an integer number (2188476).

Almost surely, 256223120 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 56223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87539040).

56223120 is an abundant number, since it is smaller than the sum of its proper divisors (118854960).

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

56223120 is a wasteful number, since it uses less digits than its factorization.

56223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 56223120 is about 7498.2077858646. The cubic root of 56223120 is about 383.0936741834.

Adding to 56223120 its reverse (2132265), we get a palindrome (58355385).

The spelling of 56223120 in words is "fifty-six million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 317 634 739 951 1268 1478 1585 1902 2217 2536 2956 3170 3695 3804 4434 4755 5072 5912 6340 7390 7608 8868 9510 11085 11824 12680 14780 15216 17736 19020 22170 25360 29560 35472 38040 44340 59120 76080 88680 177360 234263 468526 702789 937052 1171315 1405578 1874104 2342630 2811156 3513945 3748208 4685260 5622312 7027890 9370520 11244624 14055780 18741040 28111560 56223120