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208070144 = 292317669
BaseRepresentation
bin11000110011011…
…10011000000000
3112111112001120122
430121232120000
5411231221034
632351355412
75104365332
oct1431563000
9474461518
10208070144
11a74a51a7
1259822b68
1334151639
141d8c3452
151340062e
hexc66e600

208070144 has 40 divisors (see below), whose sum is σ = 433833840. Its totient is φ = 99506176.

The previous prime is 208070111. The next prime is 208070147. The reversal of 208070144 is 441070802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208070147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2942 + ... + 20610.

It is an arithmetic number, because the mean of its divisors is an integer number (10845846).

Almost surely, 2208070144 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 208070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216916920).

208070144 is an abundant number, since it is smaller than the sum of its proper divisors (225763696).

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

208070144 is an equidigital number, since it uses as much as digits as its factorization.

208070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17710 (or 17694 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 208070144 is about 14424.6367025308. The cubic root of 208070144 is about 592.5658091846.

The spelling of 208070144 in words is "two hundred eight million, seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 2944 5888 11776 17669 35338 70676 141352 282704 406387 565408 812774 1130816 1625548 2261632 3251096 4523264 6502192 9046528 13004384 26008768 52017536 104035072 208070144