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199494240 = 25351137783
BaseRepresentation
bin10111110010000…
…00101001100000
3111220101100122120
423321000221200
5402032303430
631443504240
74641446601
oct1371005140
9456340576
10199494240
11a2677a80
1256988080
133243b03a
141c6cdda8
15127a9610
hexbe40a60

199494240 has 96 divisors (see below), whose sum is σ = 685552896. Its totient is φ = 48360960.

The previous prime is 199494223. The next prime is 199494241. The reversal of 199494240 is 42494991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 199494192 and 199494201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199494241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13612 + ... + 24171.

It is an arithmetic number, because the mean of its divisors is an integer number (7141176).

Almost surely, 2199494240 is an apocalyptic number.

199494240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199494240 is an abundant number, since it is smaller than the sum of its proper divisors (486058656).

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

199494240 is a wasteful number, since it uses less digits than its factorization.

199494240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37812 (or 37804 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 199494240 is about 14124.2429885640. The cubic root of 199494240 is about 584.3101811297.

The spelling of 199494240 in words is "one hundred ninety-nine million, four hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 37783 75566 113349 151132 188915 226698 302264 377830 415613 453396 566745 604528 755660 831226 906792 1133490 1209056 1246839 1511320 1662452 1813584 2078065 2266980 2493678 3022640 3324904 3627168 4156130 4533960 4987356 6045280 6234195 6649808 8312260 9067920 9974712 12468390 13299616 16624520 18135840 19949424 24936780 33249040 39898848 49873560 66498080 99747120 199494240