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52223631120 = 24335116320789
BaseRepresentation
bin110000101000110001…
…010101111100010000
311222210112222100002000
4300220301111330100
51323423222143440
635554033354000
73526102353213
oct605061257420
9158715870060
1052223631120
1120169973021
12a155708900
134c0365649b
142755b9d77a
151559bcd730
hexc28c55f10

52223631120 has 160 divisors (see below), whose sum is σ = 180044726400. Its totient is φ = 13913657856.

The previous prime is 52223631113. The next prime is 52223631137. The reversal of 52223631120 is 2113632225.

It is a happy number.

52223631120 is a `hidden beast` number, since 5 + 2 + 2 + 2 + 3 + 631 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2501686 + ... + 2522474.

It is an arithmetic number, because the mean of its divisors is an integer number (1125279540).

Almost surely, 252223631120 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 52223631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90022363200).

52223631120 is an abundant number, since it is smaller than the sum of its proper divisors (127821095280).

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

52223631120 is a wasteful number, since it uses less digits than its factorization.

52223631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21974 (or 21962 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 52223631120 in words is "fifty-two billion, two hundred twenty-three million, six hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1163 2160 2326 3489 4652 5815 6978 9304 10467 11630 13956 17445 18608 20789 20934 23260 27912 31401 34890 41578 41868 46520 52335 55824 62367 62802 69780 83156 83736 93040 103945 104670 124734 125604 139560 157005 166312 167472 187101 207890 209340 249468 251208 279120 311835 314010 332624 374202 415780 418680 498936 502416 561303 623670 628020 748404 831560 837360 935505 997872 1122606 1247340 1256040 1496808 1663120 1871010 2245212 2494680 2512080 2806515 2993616 3742020 4490424 4989360 5613030 7484040 8980848 11226060 14968080 22452120 24177607 44904240 48355214 72532821 96710428 120888035 145065642 193420856 217598463 241776070 290131284 362664105 386841712 435196926 483552140 580262568 652795389 725328210 870393852 967104280 1087992315 1160525136 1305590778 1450656420 1740787704 1934208560 2175984630 2611181556 2901312840 3263976945 3481575408 4351969260 5222363112 5802625680 6527953890 8703938520 10444726224 13055907780 17407877040 26111815560 52223631120