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31199168 = 2671113487
BaseRepresentation
bin111011100000…
…0111111000000
32011201002012202
41313000333000
530441333133
63032412332
7526121450
oct167007700
964632182
1031199168
111667a440
12a5470a8
136604a60
144201d60
152b142e8
hex1dc0fc0

31199168 has 112 divisors (see below), whose sum is σ = 83295744. Its totient is φ = 11197440.

The previous prime is 31199143. The next prime is 31199173. The reversal of 31199168 is 86199113.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63821 + ... + 64307.

It is an arithmetic number, because the mean of its divisors is an integer number (743712).

Almost surely, 231199168 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 31199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41647872).

31199168 is an abundant number, since it is smaller than the sum of its proper divisors (52096576).

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

31199168 is a wasteful number, since it uses less digits than its factorization.

31199168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its digits is 11664, while the sum is 38.

The square root of 31199168 is about 5585.6215410642. The cubic root of 31199168 is about 314.8093849709.

Subtracting 31199168 from its reverse (86199113), we obtain a palindrome (54999945).

The spelling of 31199168 in words is "thirty-one million, one hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 448 487 572 616 704 728 832 974 1001 1144 1232 1456 1948 2002 2288 2464 2912 3409 3896 4004 4576 4928 5357 5824 6331 6818 7792 8008 9152 10714 12662 13636 15584 16016 21428 25324 27272 31168 32032 37499 42856 44317 50648 54544 64064 69641 74998 85712 88634 101296 109088 139282 149996 171424 177268 202592 218176 278564 299992 342848 354536 405184 487487 557128 599984 709072 974974 1114256 1199968 1418144 1949948 2228512 2399936 2836288 3899896 4457024 7799792 15599584 31199168