Search a number
-
+
220476640 = 2552934703
BaseRepresentation
bin11010010010000…
…11010011100000
3120100212101002111
431021003103200
5422420223030
633513325104
75315010016
oct1511032340
9510771074
10220476640
111034a93aa
1261a06794
13368a6667
14213d28b6
151455162a
hexd2434e0

220476640 has 48 divisors (see below), whose sum is σ = 522764928. Its totient is φ = 87870976.

The previous prime is 220476629. The next prime is 220476649. The reversal of 220476640 is 46674022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220476649) 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 7 ways as a sum of consecutive naturals, for example, 44529 + ... + 49231.

It is an arithmetic number, because the mean of its divisors is an integer number (10890936).

Almost surely, 2220476640 is an apocalyptic number.

220476640 is a gapful number since it is divisible by the number (20) 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 220476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261382464).

220476640 is an abundant number, since it is smaller than the sum of its proper divisors (302288288).

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

220476640 is a wasteful number, since it uses less digits than its factorization.

220476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 220476640 is about 14848.4558119691. The cubic root of 220476640 is about 604.1167267058.

The spelling of 220476640 in words is "two hundred twenty million, four hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 586 1172 1465 2344 2930 4688 4703 5860 9376 9406 11720 18812 23440 23515 37624 46880 47030 75248 94060 150496 188120 376240 752480 1377979 2755958 5511916 6889895 11023832 13779790 22047664 27559580 44095328 55119160 110238320 220476640