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422234202432224 = 25713144998009077
BaseRepresentation
bin110000000000001010000111…
…1101001011110001011100000
32001101000012021112202201220002
41200000110033221132023200
5420320341121310312344
64054003414221035132
7154636262103206210
oct14000241751361340
92041005245681802
10422234202432224
1111259a579717226
123b4339980b5aa8
131517a68c2c7ba0
14763a35ca4c240
1533c3431e5044e
hex180050fa5e2e0

422234202432224 has 48 divisors (see below), whose sum is σ = 1023105952054368. Its totient is φ = 167037706455552.

The previous prime is 422234202432151. The next prime is 422234202432233.

422234202432224 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72499001627 + ... + 72499007450.

It is an arithmetic number, because the mean of its divisors is an integer number (21314707334466).

Almost surely, 2422234202432224 is an apocalyptic number.

It is an amenable number.

422234202432224 is an abundant number, since it is smaller than the sum of its proper divisors (600871749622144).

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

422234202432224 is a wasteful number, since it uses less digits than its factorization.

422234202432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144998009107 (or 144998009099 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

It can be divided in two parts, 42223420 and 2432224, that added together give a palindrome (44655644).

The spelling of 422234202432224 in words is "four hundred twenty-two trillion, two hundred thirty-four billion, two hundred two million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 144998009077 289996018154 579992036308 1014986063539 1159984072616 1884974118001 2029972127078 2319968145232 3769948236002 4059944254156 4639936290464 7539896472004 8119888508312 13194818826007 15079792944008 16239777016624 26389637652014 30159585888016 32479554033248 52779275304028 60319171776032 105558550608056 211117101216112 422234202432224