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199515240 = 23325554209
BaseRepresentation
bin10111110010001…
…01110001101000
3111220102102110100
423321011301220
5402033441430
631444145400
74641565041
oct1371056150
9456372410
10199515240
11a2691831
1256998260
1332447772
141c6d78c8
15127b0960
hexbe45c68

199515240 has 48 divisors (see below), whose sum is σ = 648425700. Its totient is φ = 53203968.

The previous prime is 199515233. The next prime is 199515241. The reversal of 199515240 is 42515991.

199515240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 197627364 + 1887876 = 14058^2 + 1374^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 199515195 and 199515204.

It is not an unprimeable number, because it can be changed into a prime (199515241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276745 + ... + 277464.

Almost surely, 2199515240 is an apocalyptic number.

199515240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199515240 is an abundant number, since it is smaller than the sum of its proper divisors (448910460).

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

199515240 is a wasteful number, since it uses less digits than its factorization.

199515240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554226 (or 554219 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 199515240 is about 14124.9863716748. The cubic root of 199515240 is about 584.3306831139.

The spelling of 199515240 in words is "one hundred ninety-nine million, five hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 554209 1108418 1662627 2216836 2771045 3325254 4433672 4987881 5542090 6650508 8313135 9975762 11084180 13301016 16626270 19951524 22168360 24939405 33252540 39903048 49878810 66505080 99757620 199515240