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420798222 = 232139718539
BaseRepresentation
bin11001000101001…
…101111100001110
31002022210202122100
4121011031330032
51330211020342
6105431055530
713266503655
oct3105157416
91068722570
10420798222
111a6590a29
12b8b115a6
1369244140
143dc5a19c
1526e20e4c
hex1914df0e

420798222 has 48 divisors (see below), whose sum is σ = 992038320. Its totient is φ = 128134656.

The previous prime is 420798221. The next prime is 420798223. The reversal of 420798222 is 222897024.

It is a happy number.

420798222 is a `hidden beast` number, since 420 + 7 + 9 + 8 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (420798221) and next prime (420798223).

It is a super-2 number, since 2×4207982222 = 354142287276722568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420798221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13429 + ... + 31967.

It is an arithmetic number, because the mean of its divisors is an integer number (20667465).

Almost surely, 2420798222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420798222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496019160).

420798222 is an abundant number, since it is smaller than the sum of its proper divisors (571240098).

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

420798222 is a wasteful number, since it uses less digits than its factorization.

420798222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18657 (or 18654 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 420798222 is about 20513.3669103831. The cubic root of 420798222 is about 749.3613656826.

The spelling of 420798222 in words is "four hundred twenty million, seven hundred ninety-eight thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1746 2522 3783 7566 11349 18539 22698 37078 55617 111234 166851 241007 333702 482014 723021 1446042 1798283 2169063 3596566 4338126 5394849 10789698 16184547 23377679 32369094 46755358 70133037 140266074 210399111 420798222