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52022125200 = 24352269161159
BaseRepresentation
bin110000011100110000…
…101010001010010000
311222021111210202220210
4300130300222022100
51323020131001300
635522034404120
73521104524333
oct603460521220
9158244722823
1052022125200
1120076151701
12a0ba130640
134ba0992906
14273710861a
151547178050
hexc1cc2a290

52022125200 has 120 divisors (see below), whose sum is σ = 167264740800. Its totient is φ = 13820910080.

The previous prime is 52022125159. The next prime is 52022125237. The reversal of 52022125200 is 252122025.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 242221 + ... + 403379.

It is an arithmetic number, because the mean of its divisors is an integer number (1393872840).

Almost surely, 252022125200 is an apocalyptic number.

52022125200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52022125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83632370400).

52022125200 is an abundant number, since it is smaller than the sum of its proper divisors (115242615600).

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

52022125200 is a wasteful number, since it uses less digits than its factorization.

52022125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161449 (or 161438 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 52022125200 its reverse (252122025), we get a palindrome (52274247225).

The spelling of 52022125200 in words is "fifty-two billion, twenty-two million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 269 300 400 538 600 807 1076 1200 1345 1614 2152 2690 3228 4035 4304 5380 6456 6725 8070 10760 12912 13450 16140 20175 21520 26900 32280 40350 53800 64560 80700 107600 161159 161400 322318 322800 483477 644636 805795 966954 1289272 1611590 1933908 2417385 2578544 3223180 3867816 4028975 4834770 6446360 7735632 8057950 9669540 12086925 12892720 16115900 19339080 24173850 32231800 38678160 43351771 48347700 64463600 86703542 96695400 130055313 173407084 193390800 216758855 260110626 346814168 433517710 520221252 650276565 693628336 867035420 1040442504 1083794275 1300553130 1734070840 2080885008 2167588550 2601106260 3251382825 3468141680 4335177100 5202212520 6502765650 8670354200 10404425040 13005531300 17340708400 26011062600 52022125200