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2002312220 = 225503199037
BaseRepresentation
bin111011101011000…
…1101110000011100
312011112200222222212
41313112031300130
513100042442340
6530404255552
7100422241646
oct16726156034
95145628885
102002312220
11938286897
1247a6a15b8
1325baa693c
1414dcdb896
15babbca65
hex7758dc1c

2002312220 has 24 divisors (see below), whose sum is σ = 4213236384. Its totient is φ = 799328576.

The previous prime is 2002312211. The next prime is 2002312223. The reversal of 2002312220 is 222132002.

It is a super-3 number, since 3×20023122203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2002312195 and 2002312204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002312223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89459 + ... + 109578.

It is an arithmetic number, because the mean of its divisors is an integer number (175551516).

Almost surely, 22002312220 is an apocalyptic number.

2002312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002312220 is an abundant number, since it is smaller than the sum of its proper divisors (2210924164).

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

2002312220 is a wasteful number, since it uses less digits than its factorization.

2002312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199549 (or 199547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2002312220 is about 44747.2034880393. The cubic root of 2002312220 is about 1260.4063986790.

Adding to 2002312220 its reverse (222132002), we get a palindrome (2224444222).

The spelling of 2002312220 in words is "two billion, two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 503 1006 2012 2515 5030 10060 199037 398074 796148 995185 1990370 3980740 100115611 200231222 400462444 500578055 1001156110 2002312220