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199765350 = 232522319301
BaseRepresentation
bin10111110100000…
…10110101100110
3111220220010112200
423322002311212
5402114442400
631453355330
74643656161
oct1372026546
9456803480
10199765350
11a2842734
1256a98b46
1332504565
141c760ad8
151280eb00
hexbe82d66

199765350 has 72 divisors (see below), whose sum is σ = 560066832. Its totient is φ = 50952000.

The previous prime is 199765339. The next prime is 199765361. The reversal of 199765350 is 53567991.

199765350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199765339) and next prime (199765361).

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 = 199765296 and 199765305.

It is a congruent number.

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, 700 + ... + 20000.

It is an arithmetic number, because the mean of its divisors is an integer number (7778706).

Almost surely, 2199765350 is an apocalyptic number.

199765350 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 199765350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280033416).

199765350 is an abundant number, since it is smaller than the sum of its proper divisors (360301482).

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

199765350 is a wasteful number, since it uses less digits than its factorization.

199765350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19342 (or 19334 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 199765350 is about 14133.8370586334. The cubic root of 199765350 is about 584.5747512200.

The spelling of 199765350 in words is "one hundred ninety-nine million, seven hundred sixty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 10350 19301 38602 57903 96505 115806 173709 193010 289515 347418 443923 482525 579030 868545 887846 965050 1331769 1447575 1737090 2219615 2663538 2895150 3995307 4342725 4439230 6658845 7990614 8685450 11098075 13317690 19976535 22196150 33294225 39953070 66588450 99882675 199765350