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198001944 = 23327256123
BaseRepresentation
bin10111100110101…
…00010100011000
3111210120112121100
423303110110120
5401142030234
631351511400
74622663100
oct1363242430
9453515540
10198001944
11a1848878
1256388560
1332037a1a
141c422200
15125b2399
hexbcd4518

198001944 has 72 divisors (see below), whose sum is σ = 623818260. Its totient is φ = 56570976.

The previous prime is 198001943. The next prime is 198001957. The reversal of 198001944 is 449100891.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 198001899 and 198001908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198001943) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 24534 + ... + 31589.

Almost surely, 2198001944 is an apocalyptic number.

198001944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

198001944 is an abundant number, since it is smaller than the sum of its proper divisors (425816316).

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

198001944 is a wasteful number, since it uses less digits than its factorization.

198001944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56149 (or 56135 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 198001944 is about 14071.3163563328. The cubic root of 198001944 is about 582.8495758204.

The spelling of 198001944 in words is "one hundred ninety-eight million, one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 56123 112246 168369 224492 336738 392861 448984 505107 673476 785722 1010214 1178583 1346952 1571444 2020428 2357166 2750027 3142888 3535749 4040856 4714332 5500054 7071498 8250081 9428664 11000108 14142996 16500162 22000216 24750243 28285992 33000324 49500486 66000648 99000972 198001944