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192000016 = 24131922557
BaseRepresentation
bin10110111000110…
…11000000010000
3111101021121111201
423130123000100
5343123000031
631015120544
74520654545
oct1334330020
9441247451
10192000016
11994194aa
1254373154
1330a15ba0
141b6dcbcc
1511cc8d61
hexb71b010

192000016 has 60 divisors (see below), whose sum is σ = 422975532. Its totient is φ = 83918592.

The previous prime is 191999987. The next prime is 192000043. The reversal of 192000016 is 610000291.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 138768400 = 7296^2 + 11780^2 .

It is a super-2 number, since 2×1920000162 = 73728012288000512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 191999957 and 192000002.

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 11 ways as a sum of consecutive naturals, for example, 73810 + ... + 76366.

Almost surely, 2192000016 is an apocalyptic number.

192000016 is a gapful number since it is divisible by the number (16) 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 192000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211487766).

192000016 is an abundant number, since it is smaller than the sum of its proper divisors (230975516).

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

192000016 is a wasteful number, since it uses less digits than its factorization.

192000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 192000016 is about 13856.4070379013. The cubic root of 192000016 is about 576.8998441480.

The spelling of 192000016 in words is "one hundred ninety-two million, sixteen", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 361 494 722 988 1444 1976 2557 2888 3952 4693 5114 5776 9386 10228 18772 20456 33241 37544 40912 48583 66482 75088 97166 132964 194332 265928 388664 531856 631579 777328 923077 1263158 1846154 2526316 3692308 5052632 7384616 10105264 12000001 14769232 24000002 48000004 96000008 192000016