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199950660 = 223357132313
BaseRepresentation
bin10111110101100…
…00000101000100
3111221020112202000
423322300011010
5402141410120
631501345300
74645360350
oct1372600504
9457215660
10199950660
11a2959988
1256b68230
133256aa00
141c7ac460
1512849990
hexbeb0144

199950660 has 288 divisors, whose sum is σ = 772289280. Its totient is φ = 42052608.

The previous prime is 199950637. The next prime is 199950677. The reversal of 199950660 is 66059991.

199950660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638664 + ... + 638976.

It is an arithmetic number, because the mean of its divisors is an integer number (2681560).

Almost surely, 2199950660 is an apocalyptic number.

199950660 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 199950660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386144640).

199950660 is an abundant number, since it is smaller than the sum of its proper divisors (572338620).

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

199950660 is a wasteful number, since it uses less digits than its factorization.

199950660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 199950660 is about 14140.3910837006. The cubic root of 199950660 is about 584.7554533423.

The spelling of 199950660 in words is "one hundred ninety-nine million, nine hundred fifty thousand, six hundred sixty".