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420602022 = 232291994049
BaseRepresentation
bin11001000100011…
…110000010100110
31002022102210111200
4121010132002212
51330133231042
6105422543330
713265025651
oct3104360246
91068383450
10420602022
111a6467585
12b8a37b46
13691a5a49
143dc08898
1526dd2c4c
hex1911e0a6

420602022 has 48 divisors (see below), whose sum is σ = 947700000. Its totient is φ = 134652672.

The previous prime is 420602009. The next prime is 420602023. The reversal of 420602022 is 220206024.

It is a happy number.

420602022 is a `hidden beast` number, since 42 + 0 + 602 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420601986 and 420602004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420602023) 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, 101854 + ... + 105902.

It is an arithmetic number, because the mean of its divisors is an integer number (19743750).

Almost surely, 2420602022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420602022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473850000).

420602022 is an abundant number, since it is smaller than the sum of its proper divisors (527097978).

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

420602022 is a wasteful number, since it uses less digits than its factorization.

420602022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420602022 is about 20508.5841051985. The cubic root of 420602022 is about 749.2448826522.

Adding to 420602022 its reverse (220206024), we get a palindrome (640808046).

The spelling of 420602022 in words is "four hundred twenty million, six hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 199 261 398 522 597 1194 1791 3582 4049 5771 8098 11542 12147 17313 24294 34626 36441 51939 72882 103878 117421 234842 352263 704526 805751 1056789 1611502 2113578 2417253 4834506 7251759 14503518 23366779 46733558 70100337 140200674 210301011 420602022