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208151130 = 235116191019
BaseRepresentation
bin11000110100000…
…10001001011010
3112111200011200010
430122002021122
5411241314010
632353222350
75105153415
oct1432021132
9474604603
10208151130
11a7550030
12598619b6
133417c465
141d904b7c
1513419620
hexc68225a

208151130 has 64 divisors (see below), whose sum is σ = 546393600. Its totient is φ = 50329920.

The previous prime is 208151117. The next prime is 208151147. The reversal of 208151130 is 31151802.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 208151097 and 208151106.

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 31 ways as a sum of consecutive naturals, for example, 203761 + ... + 204779.

It is an arithmetic number, because the mean of its divisors is an integer number (8537400).

Almost surely, 2208151130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208151130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273196800).

208151130 is an abundant number, since it is smaller than the sum of its proper divisors (338242470).

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

208151130 is a wasteful number, since it uses less digits than its factorization.

208151130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 208151130 is about 14427.4436405068. The cubic root of 208151130 is about 592.6426795912.

It can be divided in two parts, 20815 and 1130, that added together give a triangular number (21945 = T209).

The spelling of 208151130 in words is "two hundred eight million, one hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 619 1019 1238 1857 2038 3057 3095 3714 5095 6114 6190 6809 9285 10190 11209 13618 15285 18570 20427 22418 30570 33627 34045 40854 56045 67254 68090 102135 112090 168135 204270 336270 630761 1261522 1892283 3153805 3784566 6307610 6938371 9461415 13876742 18922830 20815113 34691855 41630226 69383710 104075565 208151130