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199465728 = 2837113373
BaseRepresentation
bin10111110001110…
…01101100000000
3111220022220112120
423320321230000
5402030400403
631443124240
74641300510
oct1370715400
9456286476
10199465728
11a2658610
1256973680
133242b077
141c6c3840
15127a0e53
hexbe39b00

199465728 has 144 divisors (see below), whose sum is σ = 662059776. Its totient is φ = 51793920.

The previous prime is 199465727. The next prime is 199465751. The reversal of 199465728 is 827564991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199465723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57450 + ... + 60822.

Almost surely, 2199465728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331029888).

199465728 is an abundant number, since it is smaller than the sum of its proper divisors (462594048).

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

199465728 is a wasteful number, since it uses less digits than its factorization.

199465728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3396 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 199465728 is about 14123.2336240678. The cubic root of 199465728 is about 584.2823429899.

The spelling of 199465728 in words is "one hundred ninety-nine million, four hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3373 3696 4224 4928 5376 6746 7392 8448 9856 10119 13492 14784 19712 20238 23611 26984 29568 37103 40476 47222 53968 59136 70833 74206 80952 94444 107936 111309 141666 148412 161904 188888 215872 222618 259721 283332 296824 323808 377776 431744 445236 519442 566664 593648 647616 755552 779163 863488 890472 1038884 1133328 1187296 1295232 1511104 1558326 1780944 2077768 2266656 2374592 2590464 3022208 3116652 3561888 4155536 4533312 4749184 6044416 6233304 7123776 8311072 9066624 9498368 12466608 14247552 16622144 18133248 24933216 28495104 33244288 49866432 66488576 99732864 199465728