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22032530000 = 245413213037
BaseRepresentation
bin10100100001001111…
…011011101001010000
32002212111002111020122
4110201033123221100
5330110311430000
614042133325412
71406662262225
oct244117335120
962774074218
1022032530000
119386874988
12432a796868
132101801700
1410d020b94c
1588e407085
hex5213dba50

22032530000 has 150 divisors (see below), whose sum is σ = 57766332294. Its totient is φ = 8134464000.

The previous prime is 22032529999. The next prime is 22032530011. The reversal of 22032530000 is 3523022.

It can be written as a sum of positive squares in 15 ways, for example, as 21235484176 + 797045824 = 145724^2 + 28232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1683482 + ... + 1696518.

Almost surely, 222032530000 is an apocalyptic number.

22032530000 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 22032530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28883166147).

22032530000 is an abundant number, since it is smaller than the sum of its proper divisors (35733802294).

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

22032530000 is a wasteful number, since it uses less digits than its factorization.

22032530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13091 (or 13057 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The spelling of 22032530000 in words is "twenty-two billion, thirty-two million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 169 200 208 250 260 325 338 400 500 520 625 650 676 845 1000 1040 1250 1300 1352 1625 1690 2000 2500 2600 2704 3250 3380 4225 5000 5200 6500 6760 8125 8450 10000 13000 13037 13520 16250 16900 21125 26000 26074 32500 33800 42250 52148 65000 65185 67600 84500 104296 105625 130000 130370 169000 169481 208592 211250 260740 325925 338000 338962 422500 521480 651850 677924 845000 847405 1042960 1303700 1355848 1629625 1690000 1694810 2203253 2607400 2711696 3259250 3389620 4237025 4406506 5214800 6518500 6779240 8148125 8474050 8813012 11016265 13037000 13558480 16296250 16948100 17626024 21185125 22032530 26074000 32592500 33896200 35252048 42370250 44065060 55081325 65185000 67792400 84740500 88130120 105925625 110162650 130370000 169481000 176260240 211851250 220325300 275406625 338962000 423702500 440650600 550813250 847405000 881301200 1101626500 1377033125 1694810000 2203253000 2754066250 4406506000 5508132500 11016265000 22032530000