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198392857320 = 233571217194069
BaseRepresentation
bin1011100011000100100…
…0101100001011101000
3200222002100011101012110
42320301020230023220
511222302032413240
6231050155242320
720222234314560
oct2706110541350
9628070141173
10198392857320
1177157661109
12325494493a0
1315929385288
14986088bda0
155262313c80
hex2e3122c2e8

198392857320 has 128 divisors (see below), whose sum is σ = 680766508800. Its totient is φ = 45309444096.

The previous prime is 198392857307. The next prime is 198392857337. The reversal of 198392857320 is 23758293891.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 925246 + ... + 1119314.

It is an arithmetic number, because the mean of its divisors is an integer number (5318488350).

Almost surely, 2198392857320 is an apocalyptic number.

198392857320 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 198392857320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340383254400).

198392857320 is an abundant number, since it is smaller than the sum of its proper divisors (482373651480).

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

198392857320 is a wasteful number, since it uses less digits than its factorization.

198392857320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195307 (or 195303 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 198392857320 in words is "one hundred ninety-eight billion, three hundred ninety-two million, eight hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1217 2434 3651 4868 6085 7302 8519 9736 12170 14604 17038 18255 24340 25557 29208 34076 36510 42595 48680 51114 68152 73020 85190 102228 127785 146040 170380 194069 204456 255570 340760 388138 511140 582207 776276 970345 1022280 1164414 1358483 1552552 1940690 2328828 2716966 2911035 3881380 4075449 4657656 5433932 5822070 6792415 7762760 8150898 10867864 11644140 13584830 16301796 20377245 23288280 27169660 32603592 40754490 54339320 81508980 163017960 236181973 472363946 708545919 944727892 1180909865 1417091838 1653273811 1889455784 2361819730 2834183676 3306547622 3542729595 4723639460 4959821433 5668367352 6613095244 7085459190 8266369055 9447278920 9919642866 13226190488 14170918380 16532738110 19839285732 24799107165 28341836760 33065476220 39678571464 49598214330 66130952440 99196428660 198392857320