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199124408 = 23719316037
BaseRepresentation
bin10111101111001…
…10010110111000
3111212200120100002
423313212112320
5401433440113
631431532132
74635346430
oct1367462670
9455616302
10199124408
11a244512a
125682a048
133233b8c2
141c6352c0
1512734c58
hexbde65b8

199124408 has 64 divisors (see below), whose sum is σ = 463718400. Its totient is φ = 78226560.

The previous prime is 199124369. The next prime is 199124423. The reversal of 199124408 is 804421991.

It is a super-2 number, since 2×1991244082 = 79301059722700928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29966 + ... + 36002.

It is an arithmetic number, because the mean of its divisors is an integer number (7245600).

Almost surely, 2199124408 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 199124408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231859200).

199124408 is an abundant number, since it is smaller than the sum of its proper divisors (264593992).

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

199124408 is a wasteful number, since it uses less digits than its factorization.

199124408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 199124408 is about 14111.1448153578. The cubic root of 199124408 is about 583.9488836852.

The spelling of 199124408 in words is "one hundred ninety-nine million, one hundred twenty-four thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1736 2356 4123 4712 6037 8246 12074 16492 24148 32984 42259 48296 84518 114703 169036 187147 229406 338072 374294 458812 748588 802921 917624 1310029 1497176 1605842 2620058 3211684 3555793 5240116 6423368 7111586 10480232 14223172 24890551 28446344 49781102 99562204 199124408