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199880250 = 2353318597
BaseRepresentation
bin10111110100111…
…10111000111010
3111221002222011020
423322132320322
5402132132000
631500043310
74644645153
oct1372367072
9457088136
10199880250
11a2910a99
1256b33536
133254494b
141c79092a
1512833ba0
hexbe9ee3a

199880250 has 64 divisors (see below), whose sum is σ = 515054592. Its totient is φ = 51576000.

The previous prime is 199880183. The next prime is 199880251. The reversal of 199880250 is 52088991.

It is a happy number.

It is a super-2 number, since 2×1998802502 = 79904228680125000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199880251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18952 + ... + 27548.

It is an arithmetic number, because the mean of its divisors is an integer number (8047728).

Almost surely, 2199880250 is an apocalyptic number.

199880250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199880250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257527296).

199880250 is an abundant number, since it is smaller than the sum of its proper divisors (315174342).

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

199880250 is a wasteful number, since it uses less digits than its factorization.

199880250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8648 (or 8638 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 199880250 is about 14137.9011879416. The cubic root of 199880250 is about 584.6868072987.

The spelling of 199880250 in words is "one hundred ninety-nine million, eight hundred eighty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 186 250 310 375 465 750 775 930 1550 2325 3875 4650 7750 8597 11625 17194 23250 25791 42985 51582 85970 128955 214925 257910 266507 429850 533014 644775 799521 1074625 1289550 1332535 1599042 2149250 2665070 3223875 3997605 6447750 6662675 7995210 13325350 19988025 33313375 39976050 66626750 99940125 199880250