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199948740 = 22353790067
BaseRepresentation
bin10111110101011…
…11100111000100
3111221020110002220
423322233213010
5402141324430
631501332340
74645351635
oct1372574704
9457213086
10199948740
11a29584a2
1256b670b0
1332569b84
141c7ab88c
1512849110
hexbeaf9c4

199948740 has 48 divisors (see below), whose sum is σ = 574994112. Its totient is φ = 51878016.

The previous prime is 199948691. The next prime is 199948741. The reversal of 199948740 is 47849991.

199948740 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

199948740 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (199948741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42814 + ... + 47253.

It is an arithmetic number, because the mean of its divisors is an integer number (11979044).

Almost surely, 2199948740 is an apocalyptic number.

199948740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199948740 is an abundant number, since it is smaller than the sum of its proper divisors (375045372).

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

199948740 is a wasteful number, since it uses less digits than its factorization.

199948740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90116 (or 90114 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 199948740 is about 14140.3231929118. The cubic root of 199948740 is about 584.7535816571.

The spelling of 199948740 in words is "one hundred ninety-nine million, nine hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 90067 180134 270201 360268 450335 540402 900670 1080804 1351005 1801340 2702010 3332479 5404020 6664958 9997437 13329916 16662395 19994874 33324790 39989748 49987185 66649580 99974370 199948740