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1005540220 = 2252310872011
BaseRepresentation
bin111011111011110…
…101001101111100
32121002002201212101
4323323311031330
54024404241340
6243440114444
733626644066
oct7373651574
92532081771
101005540220
11476668283
12240905a24
13130429b19
1497790736
155d427c9a
hex3bef537c

1005540220 has 48 divisors (see below), whose sum is σ = 2206568448. Its totient is φ = 384183360.

The previous prime is 1005540209. The next prime is 1005540223. The reversal of 1005540220 is 220455001.

It is a super-2 number, since 2×10055402202 = 2022222268075296800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005540223) 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, 499015 + ... + 501025.

It is an arithmetic number, because the mean of its divisors is an integer number (45970176).

Almost surely, 21005540220 is an apocalyptic number.

1005540220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005540220 is an abundant number, since it is smaller than the sum of its proper divisors (1201028228).

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

1005540220 is a wasteful number, since it uses less digits than its factorization.

1005540220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1005540220 is about 31710.2541774739. The cubic root of 1005540220 is about 1001.8433400098.

Adding to 1005540220 its reverse (220455001), we get a palindrome (1225995221).

It can be divided in two parts, 10055 and 40220, that multiplied together give a square (404412100 = 201102).

The spelling of 1005540220 in words is "one billion, five million, five hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1087 2011 2174 4022 4348 5435 8044 10055 10870 20110 21740 25001 40220 46253 50002 92506 100004 125005 185012 231265 250010 462530 500020 925060 2185957 4371914 8743828 10929785 21859570 43719140 50277011 100554022 201108044 251385055 502770110 1005540220