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199683540 = 223257192439
BaseRepresentation
bin10111110011011…
…10110111010100
3111220201222022200
423321232313110
5402104333130
631451524500
74643165520
oct1371566724
9456658280
10199683540
11a2797221
1256a59730
13324a6254
141c73cd80
15127e5760
hexbe6edd4

199683540 has 216 divisors, whose sum is σ = 732251520. Its totient is φ = 43141248.

The previous prime is 199683511. The next prime is 199683541. The reversal of 199683540 is 45386991.

It is a happy number.

199683540 is a `hidden beast` number, since 19 + 96 + 8 + 3 + 540 = 666.

It is a super-2 number, since 2×1996835402 = 79747032293863200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199683541) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 454641 + ... + 455079.

Almost surely, 2199683540 is an apocalyptic number.

199683540 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 199683540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366125760).

199683540 is an abundant number, since it is smaller than the sum of its proper divisors (532567980).

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

199683540 is a wasteful number, since it uses less digits than its factorization.

199683540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 199683540 is about 14130.9426437163. The cubic root of 199683540 is about 584.4949399308.

The spelling of 199683540 in words is "one hundred ninety-nine million, six hundred eighty-three thousand, five hundred forty".