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22542012300 = 223521910193881
BaseRepresentation
bin10100111111100110…
…111100111110001100
32011011222202212120110
4110333212330332030
5332131223343200
614204453320020
71425416641323
oct247746747614
964158685513
1022542012300
119618418535
124451336010
132183226822
14113bb510ba
158bdee4b50
hex53f9bcf8c

22542012300 has 144 divisors (see below), whose sum is σ = 68739350400. Its totient is φ = 5687769600.

The previous prime is 22542012299. The next prime is 22542012329. The reversal of 22542012300 is 321024522.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5806360 + ... + 5810240.

It is an arithmetic number, because the mean of its divisors is an integer number (477356600).

Almost surely, 222542012300 is an apocalyptic number.

22542012300 is a gapful number since it is divisible by the number (20) 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 22542012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34369675200).

22542012300 is an abundant number, since it is smaller than the sum of its proper divisors (46197338100).

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

22542012300 is a wasteful number, since it uses less digits than its factorization.

22542012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 22542012300 its reverse (321024522), we get a palindrome (22863036822).

The spelling of 22542012300 in words is "twenty-two billion, five hundred forty-two million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1019 1140 1425 1900 2038 2850 3057 3881 4076 5095 5700 6114 7762 10190 11643 12228 15285 15524 19361 19405 20380 23286 25475 30570 38722 38810 46572 50950 58083 58215 61140 73739 76425 77444 77620 96805 97025 101900 116166 116430 147478 152850 193610 194050 221217 232332 232860 290415 291075 294956 305700 368695 387220 388100 442434 484025 580830 582150 737390 884868 968050 1106085 1161660 1164300 1452075 1474780 1843475 1936100 2212170 2904150 3686950 3954739 4424340 5530425 5808300 7373900 7909478 11060850 11864217 15818956 19773695 22121700 23728434 39547390 47456868 59321085 75140041 79094780 98868475 118642170 150280082 197736950 225420123 237284340 296605425 300560164 375700205 395473900 450840246 593210850 751400410 901680492 1127100615 1186421700 1502800820 1878501025 2254201230 3757002050 4508402460 5635503075 7514004100 11271006150 22542012300