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56552220 = 223252111489
BaseRepresentation
bin1101011110111…
…0101100011100
310221102011001200
43113232230130
5103434132340
65340035500
71254454164
oct327565434
9127364050
1056552220
1129a1657a
1216b32b90
13b94086a
1477215a4
154e71330
hex35eeb1c

56552220 has 72 divisors (see below), whose sum is σ = 172470480. Its totient is φ = 14999040.

The previous prime is 56552203. The next prime is 56552231. The reversal of 56552220 is 2225565.

56552220 is a `hidden beast` number, since 5 + 655 + 2 + 2 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37236 + ... + 38724.

Almost surely, 256552220 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 56552220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86235240).

56552220 is an abundant number, since it is smaller than the sum of its proper divisors (115918260).

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

56552220 is a wasteful number, since it uses less digits than its factorization.

56552220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 56552220 is about 7520.1210096647. The cubic root of 56552220 is about 383.8396954584.

Adding to 56552220 its reverse (2225565), we get a palindrome (58777785).

It can be divided in two parts, 5655 and 2220, that added together give a triangular number (7875 = T125).

The spelling of 56552220 in words is "fifty-six million, five hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1489 1899 2110 2532 2978 3165 3798 4220 4467 5956 6330 7445 7596 8934 9495 12660 13401 14890 17868 18990 22335 26802 29780 37980 44670 53604 67005 89340 134010 268020 314179 628358 942537 1256716 1570895 1885074 2827611 3141790 3770148 4712685 5655222 6283580 9425370 11310444 14138055 18850740 28276110 56552220