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199942650 = 232524110837
BaseRepresentation
bin10111110101011…
…10000111111010
3111221020010202100
423322232013322
5402141131100
631501244230
74645325115
oct1372560772
9457203670
10199942650
11a2953966
1256b63676
133256717b
141c7a957c
1512847400
hexbeae1fa

199942650 has 72 divisors (see below), whose sum is σ = 550331964. Its totient is φ = 52012800.

The previous prime is 199942637. The next prime is 199942667. The reversal of 199942650 is 56249991.

It can be written as a sum of positive squares in 6 ways, for example, as 8590761 + 191351889 = 2931^2 + 13833^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 199942596 and 199942605.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13032 + ... + 23868.

Almost surely, 2199942650 is an apocalyptic number.

199942650 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 199942650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275165982).

199942650 is an abundant number, since it is smaller than the sum of its proper divisors (350389314).

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

199942650 is a wasteful number, since it uses less digits than its factorization.

199942650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10896 (or 10888 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 199942650 is about 14140.1078496594. The cubic root of 199942650 is about 584.7476448264.

The spelling of 199942650 in words is "one hundred ninety-nine million, nine hundred forty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 6150 9225 10837 18450 21674 32511 54185 65022 97533 108370 162555 195066 270925 325110 444317 487665 541850 812775 888634 975330 1332951 1625550 2221585 2438325 2665902 3998853 4443170 4876650 6664755 7997706 11107925 13329510 19994265 22215850 33323775 39988530 66647550 99971325 199942650