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56522165220 = 223252947230383
BaseRepresentation
bin110100101000111110…
…111100101111100100
312101220010102111022200
4310220332330233210
51411224133241340
641544350054500
74040446322463
oct645076745744
9171803374280
1056522165220
1121a7531a344
12ab551aa430
13543a0816a1
142a42a249da
15170c273330
hexd28fbcbe4

56522165220 has 144 divisors (see below), whose sum is σ = 181137116160. Its totient is φ = 14243136768.

The previous prime is 56522165209. The next prime is 56522165221. The reversal of 56522165220 is 2256122565.

56522165220 is a `hidden beast` number, since 56 + 522 + 1 + 65 + 2 + 20 = 666.

It is a super-2 number, since 2×565221652202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56522165221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130149 + ... + 360531.

It is an arithmetic number, because the mean of its divisors is an integer number (1257896640).

Almost surely, 256522165220 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 56522165220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90568558080).

56522165220 is an abundant number, since it is smaller than the sum of its proper divisors (124614950940).

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

56522165220 is a wasteful number, since it uses less digits than its factorization.

56522165220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230474 (or 230469 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 56522165220 its reverse (2256122565), we get a palindrome (58778287785).

The spelling of 56522165220 in words is "fifty-six billion, five hundred twenty-two million, one hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 47 58 60 87 90 94 116 141 145 174 180 188 235 261 282 290 348 423 435 470 522 564 580 705 846 870 940 1044 1305 1363 1410 1692 1740 2115 2610 2726 2820 4089 4230 5220 5452 6815 8178 8460 12267 13630 16356 20445 24534 27260 40890 49068 61335 81780 122670 230383 245340 460766 691149 921532 1151915 1382298 2073447 2303830 2764596 3455745 4146894 4607660 6681107 6911490 8293788 10367235 10828001 13362214 13822980 20043321 20734470 21656002 26724428 32484003 33405535 40086642 41468940 43312004 54140005 60129963 64968006 66811070 80173284 97452009 100216605 108280010 120259926 129936012 133622140 162420015 194904018 200433210 216560020 240519852 300649815 314012029 324840030 389808036 400866420 487260045 601299630 628024058 649680060 942036087 974520090 1202599260 1256048116 1570060145 1884072174 1949040180 2826108261 3140120290 3768144348 4710180435 5652216522 6280240580 9420360870 11304433044 14130541305 18840721740 28261082610 56522165220