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199238424 = 233711131823
BaseRepresentation
bin10111110000000…
…10001100011000
3111212220100201220
423320002030120
5402001112144
631434212040
74636333020
oct1370021430
9455810656
10199238424
11a2512860
1256884020
133237b778
141c664a80
1512758919
hexbe02318

199238424 has 128 divisors (see below), whose sum is σ = 626503680. Its totient is φ = 51292800.

The previous prime is 199238407. The next prime is 199238437. The reversal of 199238424 is 424832991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241677 + ... + 242499.

It is an arithmetic number, because the mean of its divisors is an integer number (4894560).

Almost surely, 2199238424 is an apocalyptic number.

199238424 is a gapful number since it is divisible by the number (14) 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 199238424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313251840).

199238424 is an abundant number, since it is smaller than the sum of its proper divisors (427265256).

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

199238424 is a wasteful number, since it uses less digits than its factorization.

199238424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 977 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 199238424 is about 14115.1841645796. The cubic root of 199238424 is about 584.0603162197.

The spelling of 199238424 in words is "one hundred ninety-nine million, two hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 131 132 154 168 231 262 264 308 393 462 524 616 786 823 917 924 1048 1441 1572 1646 1834 1848 2469 2751 2882 3144 3292 3668 4323 4938 5502 5761 5764 6584 7336 8646 9053 9876 10087 11004 11522 11528 17283 17292 18106 19752 20174 22008 23044 27159 30261 34566 34584 36212 40348 46088 54318 60522 63371 69132 72424 80696 107813 108636 121044 126742 138264 190113 215626 217272 242088 253484 323439 380226 431252 506968 646878 754691 760452 862504 1185943 1293756 1509382 1520904 2264073 2371886 2587512 3018764 3557829 4528146 4743772 6037528 7115658 8301601 9056292 9487544 14231316 16603202 18112584 24904803 28462632 33206404 49809606 66412808 99619212 199238424