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56228180 = 22517592803
BaseRepresentation
bin1101011001111…
…1100101010100
310220210200120012
43112133211110
5103343300210
65325055352
71251634361
oct326374524
9126720505
1056228180
1129815078
12169b7558
13b859218
147679468
154e0a305
hex359f954

56228180 has 48 divisors (see below), whose sum is σ = 127189440. Its totient is φ = 20802048.

The previous prime is 56228173. The next prime is 56228189. The reversal of 56228180 is 8182265.

It is a super-3 number, since 3×562281803 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56228189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18659 + ... + 21461.

It is an arithmetic number, because the mean of its divisors is an integer number (2649780).

Almost surely, 256228180 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 56228180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63594720).

56228180 is an abundant number, since it is smaller than the sum of its proper divisors (70961260).

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

56228180 is a wasteful number, since it uses less digits than its factorization.

56228180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 56228180 is about 7498.5451922356. The cubic root of 56228180 is about 383.1051664654.

The spelling of 56228180 in words is "fifty-six million, two hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 1003 1180 2006 2803 4012 5015 5606 10030 11212 14015 20060 28030 47651 56060 95302 165377 190604 238255 330754 476510 661508 826885 953020 1653770 2811409 3307540 5622818 11245636 14057045 28114090 56228180