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199484352 = 2632418447
BaseRepresentation
bin10111110001111…
…10001111000000
3111220100212002100
423320332033000
5402031444402
631443350400
74641406014
oct1370761700
9456325070
10199484352
11a2670601
1256982400
13324366a2
141c6ca544
15127a671c
hexbe3e3c0

199484352 has 84 divisors (see below), whose sum is σ = 585801216. Its totient is φ = 64865280.

The previous prime is 199484291. The next prime is 199484387. The reversal of 199484352 is 253484991.

It is a junction number, because it is equal to n+sod(n) for n = 199484298 and 199484307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19393 + ... + 27839.

It is an arithmetic number, because the mean of its divisors is an integer number (6973824).

Almost surely, 2199484352 is an apocalyptic number.

199484352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292900608).

199484352 is an abundant number, since it is smaller than the sum of its proper divisors (386316864).

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

199484352 is a wasteful number, since it uses less digits than its factorization.

199484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506 (or 8493 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 199484352 is about 14123.8929477676. The cubic root of 199484352 is about 584.3005271258.

The spelling of 199484352 in words is "one hundred ninety-nine million, four hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 8447 11808 16894 23616 25341 33788 50682 67576 76023 101364 135152 152046 202728 270304 304092 346327 405456 540608 608184 692654 810912 1038981 1216368 1385308 1621824 2077962 2432736 2770616 3116943 4155924 4865472 5541232 6233886 8311848 11082464 12467772 16623696 22164928 24935544 33247392 49871088 66494784 99742176 199484352