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199992240 = 2434574409
BaseRepresentation
bin10111110101110…
…10001110110000
3111221022122210000
423322322032300
5402144222430
631502310000
74645622520
oct1372721660
9457278700
10199992240
11a2988148
1256b88300
1332583906
141c7bd680
1512856e60
hexbeba3b0

199992240 has 200 divisors, whose sum is σ = 794011680. Its totient is φ = 45702144.

The previous prime is 199992223. The next prime is 199992251. The reversal of 199992240 is 42299991.

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 39 ways as a sum of consecutive naturals, for example, 43156 + ... + 47564.

Almost surely, 2199992240 is an apocalyptic number.

199992240 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 199992240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397005840).

199992240 is an abundant number, since it is smaller than the sum of its proper divisors (594019440).

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

199992240 is a wasteful number, since it uses less digits than its factorization.

199992240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 199992240 is about 14141.8612636385. The cubic root of 199992240 is about 584.7959840855.

The spelling of 199992240 in words is "one hundred ninety-nine million, nine hundred ninety-two thousand, two hundred forty".