Search a number
-
+
220371040 = 2556167337
BaseRepresentation
bin11010010001010…
…01100001100000
3120100200000020101
431020221201200
5422403333130
633511152144
75314060111
oct1510514140
9510600211
10220371040
1110343702a
1261975654
133686a586
14213a6208
15145301ca
hexd229860

220371040 has 96 divisors (see below), whose sum is σ = 538653024. Its totient is φ = 85155840.

The previous prime is 220370977. The next prime is 220371043. The reversal of 220371040 is 40173022.

It is a junction number, because it is equal to n+sod(n) for n = 220370999 and 220371017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220371043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653752 + ... + 654088.

It is an arithmetic number, because the mean of its divisors is an integer number (5610969).

Almost surely, 2220371040 is an apocalyptic number.

220371040 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 220371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269326512).

220371040 is an abundant number, since it is smaller than the sum of its proper divisors (318281984).

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

220371040 is a wasteful number, since it uses less digits than its factorization.

220371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 220371040 is about 14844.8994607576. The cubic root of 220371040 is about 604.0202615895.

The spelling of 220371040 in words is "two hundred twenty million, three hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 67 80 122 134 160 244 268 305 335 337 488 536 610 670 674 976 1072 1220 1340 1348 1685 1952 2144 2440 2680 2696 3370 4087 4880 5360 5392 6740 8174 9760 10720 10784 13480 16348 20435 20557 22579 26960 32696 40870 41114 45158 53920 65392 81740 82228 90316 102785 112895 130784 163480 164456 180632 205570 225790 326960 328912 361264 411140 451580 653920 657824 722528 822280 903160 1377319 1644560 1806320 2754638 3289120 3612640 5509276 6886595 11018552 13773190 22037104 27546380 44074208 55092760 110185520 220371040