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424220192 = 251123312
BaseRepresentation
bin11001010010010…
…001011000100000
31002120020121200222
4121102101120200
51332100021232
6110032302212
713340545364
oct3122213040
91076217628
10424220192
111a8508a00
12ba0a1968
1369b71886
14404ab2a4
1527399d12
hex19491620

424220192 has 54 divisors (see below), whose sum is σ = 920793447. Its totient is φ = 192244800.

The previous prime is 424220189. The next prime is 424220249. The reversal of 424220192 is 291022424.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 212110096 + 212110096 = 14564^2 + 14564^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14564.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1281467 + ... + 1281797.

Almost surely, 2424220192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424220192

424220192 is an abundant number, since it is smaller than the sum of its proper divisors (496573255).

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

424220192 is an equidigital number, since it uses as much as digits as its factorization.

424220192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 424220192 is about 20596.6063224018. The cubic root of 424220192 is about 751.3871761487.

The spelling of 424220192 in words is "four hundred twenty-four million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 331 352 484 662 968 1324 1936 2648 3641 3872 5296 7282 10592 14564 29128 40051 58256 80102 109561 116512 160204 219122 320408 438244 640816 876488 1205171 1281632 1752976 2410342 3505952 4820684 9641368 13256881 19282736 26513762 38565472 53027524 106055048 212110096 424220192