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422481184224 = 25311400076879
BaseRepresentation
bin1100010010111011101…
…01110100010111100000
31111101111102212212010120
412021131311310113200
523410220140343344
6522030222000240
742344322546111
oct6113565642740
91441442785116
10422481184224
1115319a6838a0
1269a68116080
1330abc088008
141663bbdc208
15aeca3c5219
hex625dd745e0

422481184224 has 48 divisors (see below), whose sum is σ = 1209832485120. Its totient is φ = 128024600960.

The previous prime is 422481184093. The next prime is 422481184231.

422481184224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200037384 + ... + 200039495.

It is an arithmetic number, because the mean of its divisors is an integer number (25204843440).

Almost surely, 2422481184224 is an apocalyptic number.

422481184224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422481184224 is an abundant number, since it is smaller than the sum of its proper divisors (787351300896).

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

422481184224 is a wasteful number, since it uses less digits than its factorization.

422481184224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400076903 (or 400076895 counting only the distinct ones).

The product of its digits is 262144, while the sum is 42.

The spelling of 422481184224 in words is "four hundred twenty-two billion, four hundred eighty-one million, one hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 400076879 800153758 1200230637 1600307516 2400461274 3200615032 4400845669 4800922548 6401230064 8801691338 9601845096 12802460128 13202537007 17603382676 19203690192 26405074014 35206765352 38407380384 52810148028 70413530704 105620296056 140827061408 211240592112 422481184224