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192230510480 = 24597113257853
BaseRepresentation
bin1011001100000111010…
…1001100111110010000
3200101011212121201112022
42303001311030332100
511122142002313410
6224150502551012
716613436244031
oct2630165147620
9611155551468
10192230510480
1174585125788
1231309738468
13151867867b8
14943829ca88
15500130d455
hex2cc1d4cf90

192230510480 has 160 divisors (see below), whose sum is σ = 457848133344. Its totient is φ = 75044487168.

The previous prime is 192230510413. The next prime is 192230510533. The reversal of 192230510480 is 84015032291.

It is a Cunningham number, because it is equal to 4384412-1.

It can be written as a sum of positive squares in 16 ways, for example, as 90538402816 + 101692107664 = 300896^2 + 318892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 192230510480.

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, 225357734 + ... + 225358586.

Almost surely, 2192230510480 is an apocalyptic number.

192230510480 is a gapful number since it is divisible by the number (10) 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 192230510480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228924066672).

192230510480 is an abundant number, since it is smaller than the sum of its proper divisors (265617622864).

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

192230510480 is a wasteful number, since it uses less digits than its factorization.

192230510480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 192230510480 in words is "one hundred ninety-two billion, two hundred thirty million, five hundred ten thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 113 194 226 257 388 452 485 514 565 776 853 904 970 1028 1130 1285 1552 1706 1808 1940 2056 2260 2570 3412 3880 4112 4265 4520 5140 6824 7760 8530 9040 10280 10961 13648 17060 20560 21922 24929 29041 34120 43844 49858 54805 58082 68240 82741 87688 96389 99716 109610 116164 124645 145205 165482 175376 192778 199432 219220 219221 232328 249290 290410 330964 385556 398864 413705 438440 438442 464656 481945 498580 580820 661928 771112 827410 876880 876884 963890 997160 1096105 1161640 1323856 1542224 1654820 1753768 1927780 1994320 2192210 2323280 2816977 3309640 3507536 3855560 4384420 5633954 6619280 7711120 8768840 9349733 11267908 14084885 17537680 18699466 21264437 22535816 24771973 28169770 37398932 42528874 45071632 46748665 49543946 56339540 74797864 85057748 93497330 99087892 106322185 112679080 123859865 149595728 170115496 186994660 198175784 212644370 225358160 247719730 340230992 373989320 396351568 425288740 495439460 747978640 850577480 990878920 1701154960 1981757840 2402881381 4805762762 9611525524 12014406905 19223051048 24028813810 38446102096 48057627620 96115255240 192230510480