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422224404422224 = 24298207531108697
BaseRepresentation
bin110000000000000101100011…
…1101001000001111001010000
32001100222020222201002020221211
41200000023013221001321100
5420320211040013002344
64053555114051425504
7154635464230410325
oct14000130751017120
92040866881066854
10422224404422224
11112596400a242a8
123b431b028b5294
131517978a410731
147639aad668b4c
1533c305bb91334
hex18002c7a41e50

422224404422224 has 40 divisors (see below), whose sum is σ = 846270536011560. Its totient is φ = 203832038903808.

The previous prime is 422224404422221. The next prime is 422224404422231.

422224404422224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 139943410933824 + 282280993488400 = 11829768^2 + 16801220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422224404422221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380275044 + ... + 381383740.

It is an arithmetic number, because the mean of its divisors is an integer number (21156763400289).

Almost surely, 2422224404422224 is an apocalyptic number.

It is an amenable number.

422224404422224 is an abundant number, since it is smaller than the sum of its proper divisors (424046131589336).

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

422224404422224 is a wasteful number, since it uses less digits than its factorization.

422224404422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929487 (or 1929481 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

It can be divided in two parts, 42222440 and 4422224, that added together give a palindrome (46644664).

The spelling of 422224404422224 in words is "four hundred twenty-two trillion, two hundred twenty-four billion, four hundred four million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 820753 1108697 1641506 2217394 3283012 4434788 6566024 8869576 13132048 17739152 23801837 32152213 47603674 64304426 95207348 128608852 190414696 257217704 380829392 514435408 909966388841 1819932777682 3639865555364 7279731110728 14559462221456 26389025276389 52778050552778 105556101105556 211112202211112 422224404422224