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220002420 = 223511333337
BaseRepresentation
bin11010001110011…
…11100001110100
3120022222021120210
431013033201310
5422310034140
633455225420
75310663321
oct1507174164
9508867523
10220002420
11103205090
1261818270
133676b861
142130bb48
15144aad80
hexd1cf874

220002420 has 48 divisors (see below), whose sum is σ = 672009408. Its totient is φ = 53333760.

The previous prime is 220002413. The next prime is 220002421. The reversal of 220002420 is 24200022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

220002420 is a modest number, since divided by 2420 gives 220 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 220002396 and 220002405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220002421) 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, 166009 + ... + 167328.

It is an arithmetic number, because the mean of its divisors is an integer number (14000196).

Almost surely, 2220002420 is an apocalyptic number.

220002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220002420 is an abundant number, since it is smaller than the sum of its proper divisors (452006988).

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

220002420 is a wasteful number, since it uses less digits than its factorization.

220002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333360 (or 333358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 220002420 is about 14832.4785521503. The cubic root of 220002420 is about 603.6832871689.

Adding to 220002420 its reverse (24200022), we get a palindrome (244202442).

The spelling of 220002420 in words is "two hundred twenty million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 333337 666674 1000011 1333348 1666685 2000022 3333370 3666707 4000044 5000055 6666740 7333414 10000110 11000121 14666828 18333535 20000220 22000242 36667070 44000484 55000605 73334140 110001210 220002420