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199993620 = 223519175433
BaseRepresentation
bin10111110101110…
…10100100010100
3111221022201200010
423322322210110
5402144243440
631502320220
74645626531
oct1372724424
9457281603
10199993620
11a2989192
1256b89070
1332584428
141c7bdd88
1512857580
hexbeba914

199993620 has 48 divisors (see below), whose sum is σ = 589458240. Its totient is φ = 50524416.

The previous prime is 199993603. The next prime is 199993637. The reversal of 199993620 is 26399991.

199993620 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199993603) and next prime (199993637).

199993620 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 199993620.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86577 + ... + 88856.

It is an arithmetic number, because the mean of its divisors is an integer number (12280380).

Almost surely, 2199993620 is an apocalyptic number.

199993620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199993620 is an abundant number, since it is smaller than the sum of its proper divisors (389464620).

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

199993620 is a wasteful number, since it uses less digits than its factorization.

199993620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175464 (or 175462 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 48.

The square root of 199993620 is about 14141.9100548688. The cubic root of 199993620 is about 584.7973291654.

The spelling of 199993620 in words is "one hundred ninety-nine million, nine hundred ninety-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 175433 350866 526299 701732 877165 1052598 1754330 2105196 2631495 3333227 3508660 5262990 6666454 9999681 10525980 13332908 16666135 19999362 33332270 39998724 49998405 66664540 99996810 199993620