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220430420 = 22572224929
BaseRepresentation
bin11010010001110…
…00000001010100
3120100210000200122
431020320001110
5422412233140
633512331112
75314425200
oct1510700124
9510700618
10220430420
11103477701
12619a3a98
133688b602
14213bdb00
1514542ab5
hexd238054

220430420 has 36 divisors (see below), whose sum is σ = 538482420. Its totient is φ = 75575808.

The previous prime is 220430407. The next prime is 220430437. The reversal of 220430420 is 24034022.

It can be written as a sum of positive squares in 2 ways, for example, as 96864964 + 123565456 = 9842^2 + 11116^2 .

It is a super-2 number, since 2×2204304202 = 97179140122752800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111485 + ... + 113444.

It is an arithmetic number, because the mean of its divisors is an integer number (14957845).

Almost surely, 2220430420 is an apocalyptic number.

220430420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220430420 is an abundant number, since it is smaller than the sum of its proper divisors (318052000).

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

220430420 is a wasteful number, since it uses less digits than its factorization.

220430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224952 (or 224943 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 220430420 is about 14846.8993395928. The cubic root of 220430420 is about 604.0745087388.

Adding to 220430420 its reverse (24034022), we get a palindrome (244464442).

The spelling of 220430420 in words is "two hundred twenty million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 224929 449858 899716 1124645 1574503 2249290 3149006 4498580 6298012 7872515 11021521 15745030 22043042 31490060 44086084 55107605 110215210 220430420