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421224021 = 32371976421
BaseRepresentation
bin11001000110110…
…101111001010101
31002100121101201200
4121012311321111
51330313132041
6105444143113
713303226241
oct3106657125
91070541650
10421224021
111a6851929
12b9097a99
1369362baa
143dd2b421
1526ea71b6
hex191b5e55

421224021 has 24 divisors (see below), whose sum is σ = 628148664. Its totient is φ = 271797120.

The previous prime is 421224017. The next prime is 421224061. The reversal of 421224021 is 120422124.

421224021 is a `hidden beast` number, since 421 + 2 + 240 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 227708100 + 193515921 = 15090^2 + 13911^2 .

It is not a de Polignac number, because 421224021 - 22 = 421224017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 421223985 and 421224003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421224061) 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, 62391 + ... + 68811.

It is an arithmetic number, because the mean of its divisors is an integer number (26172861).

Almost surely, 2421224021 is an apocalyptic number.

It is an amenable number.

421224021 is a deficient number, since it is larger than the sum of its proper divisors (206924643).

421224021 is a wasteful number, since it uses less digits than its factorization.

421224021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6661 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 421224021 is about 20523.7428604044. The cubic root of 421224021 is about 749.6140360765.

Adding to 421224021 its reverse (120422124), we get a palindrome (541646145).

The spelling of 421224021 in words is "four hundred twenty-one million, two hundred twenty-four thousand, twenty-one".

Divisors: 1 3 9 37 111 197 333 591 1773 6421 7289 19263 21867 57789 65601 237577 712731 1264937 2138193 3794811 11384433 46802669 140408007 421224021