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220765376 = 2613220411
BaseRepresentation
bin11010010100010…
…01110011000000
3120101102001011102
431022021303000
5423003443001
633523433532
75320321556
oct1512116300
9511361142
10220765376
11103686327
1261b258a8
1336977c00
1421469bd6
15145abe6b
hexd289cc0

220765376 has 42 divisors (see below), whose sum is σ = 474395292. Its totient is φ = 101886720.

The previous prime is 220765373. The next prime is 220765409. The reversal of 220765376 is 673567022.

It is not an unprimeable number, because it can be changed into a prime (220765373) 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 5 ways as a sum of consecutive naturals, for example, 611 + ... + 21021.

It is an arithmetic number, because the mean of its divisors is an integer number (11295126).

Almost surely, 2220765376 is an apocalyptic number.

220765376 is a gapful number since it is divisible by the number (26) 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 220765376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237197646).

220765376 is an abundant number, since it is smaller than the sum of its proper divisors (253629916).

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

220765376 is a wasteful number, since it uses less digits than its factorization.

220765376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20449 (or 20426 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 220765376 is about 14858.1753926921. The cubic root of 220765376 is about 604.3803285670.

The spelling of 220765376 in words is "two hundred twenty million, seven hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 20411 40822 81644 163288 265343 326576 530686 653152 1061372 1306304 2122744 3449459 4245488 6898918 8490976 13797836 16981952 27595672 55191344 110382688 220765376