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199339488 = 25331912143
BaseRepresentation
bin10111110000110…
…10110111100000
3111220002111101000
423320122313200
5402012330423
631440312000
74640233455
oct1370326740
9456074330
10199339488
11a2581787
1256912600
13323b577a
141c68d82c
1512778843
hexbe1ade0

199339488 has 96 divisors (see below), whose sum is σ = 612057600. Its totient is φ = 62944128.

The previous prime is 199339487. The next prime is 199339489. The reversal of 199339488 is 884933991.

It is an interprime number because it is at equal distance from previous prime (199339487) and next prime (199339489).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1993394882 = 79472462952204288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199339487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10345 + ... + 22487.

It is an arithmetic number, because the mean of its divisors is an integer number (6375600).

Almost surely, 2199339488 is an apocalyptic number.

199339488 is a gapful number since it is divisible by the number (18) 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 199339488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306028800).

199339488 is an abundant number, since it is smaller than the sum of its proper divisors (412718112).

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

199339488 is a wasteful number, since it uses less digits than its factorization.

199339488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12181 (or 12167 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 199339488 is about 14118.7636852523. The cubic root of 199339488 is about 584.1590546940.

The spelling of 199339488 in words is "one hundred ninety-nine million, three hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 12143 16416 24286 36429 48572 72858 97144 109287 145716 194288 218574 230717 291432 327861 388576 437148 461434 582864 655722 692151 874296 922868 1165728 1311444 1384302 1748592 1845736 2076453 2622888 2768604 3497184 3691472 4152906 5245776 5537208 6229359 7382944 8305812 10491552 11074416 12458718 16611624 22148832 24917436 33223248 49834872 66446496 99669744 199339488