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199314450 = 232525361137
BaseRepresentation
bin10111110000101…
…00110000010010
3111220001020000200
423320110300102
5402011030300
631440000030
74640100456
oct1370246022
9456036020
10199314450
11a2564995
1256900016
13323a725a
141c684666
1512771200
hexbe14c12

199314450 has 144 divisors (see below), whose sum is σ = 558587016. Its totient is φ = 50918400.

The previous prime is 199314431. The next prime is 199314473. The reversal of 199314450 is 54413991.

It is a happy number.

199314450 is a `hidden beast` number, since 199 + 3 + 14 + 450 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2277081 + 197037369 = 1509^2 + 14037^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1454782 + ... + 1454918.

Almost surely, 2199314450 is an apocalyptic number.

199314450 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 199314450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279293508).

199314450 is an abundant number, since it is smaller than the sum of its proper divisors (359272566).

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

199314450 is a wasteful number, since it uses less digits than its factorization.

199314450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 199314450 is about 14117.8769650398. The cubic root of 199314450 is about 584.1345959395.

The spelling of 199314450 in words is "one hundred ninety-nine million, three hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 61 75 90 106 122 137 150 159 183 225 265 274 305 318 366 411 450 477 530 549 610 685 795 822 915 954 1098 1233 1325 1370 1525 1590 1830 2055 2385 2466 2650 2745 3050 3233 3425 3975 4110 4575 4770 5490 6165 6466 6850 7261 7950 8357 9150 9699 10275 11925 12330 13725 14522 16165 16714 19398 20550 21783 23850 25071 27450 29097 30825 32330 36305 41785 43566 48495 50142 58194 61650 65349 72610 75213 80825 83570 96990 108915 125355 130698 145485 150426 161650 181525 208925 217830 242475 250710 290970 326745 363050 376065 417850 442921 484950 544575 626775 653490 727425 752130 885842 1089150 1253550 1328763 1454850 1633725 1880325 2214605 2657526 3267450 3760650 3986289 4429210 6643815 7972578 11073025 13287630 19931445 22146050 33219075 39862890 66438150 99657225 199314450