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194224512 = 2732321991
BaseRepresentation
bin10111001001110…
…10000110000000
3111112110121221110
423210322012000
5344210141022
631134523320
74545611136
oct1344720600
9445417843
10194224512
119a6a8829
1255066540
1331314561
141bb1b756
15120b800c
hexb93a180

194224512 has 64 divisors (see below), whose sum is σ = 538364160. Its totient is φ = 61923840.

The previous prime is 194224501. The next prime is 194224531. The reversal of 194224512 is 215422491.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1942245122 = 75446322123276288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 194224512.

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 7 ways as a sum of consecutive naturals, for example, 2164 + ... + 19827.

It is an arithmetic number, because the mean of its divisors is an integer number (8411940).

Almost surely, 2194224512 is an apocalyptic number.

194224512 is a gapful number since it is divisible by the number (12) 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 194224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269182080).

194224512 is an abundant number, since it is smaller than the sum of its proper divisors (344139648).

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

194224512 is a wasteful number, since it uses less digits than its factorization.

194224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22031 (or 22019 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 194224512 is about 13936.4454578634. The cubic root of 194224512 is about 579.1192657329.

The spelling of 194224512 in words is "one hundred ninety-four million, two hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 21991 43982 65973 87964 131946 175928 263892 351856 505793 527784 703712 1011586 1055568 1407424 1517379 2023172 2111136 2814848 3034758 4046344 4222272 6069516 8092688 8444544 12139032 16185376 24278064 32370752 48556128 64741504 97112256 194224512