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420222330 = 23551179199
BaseRepresentation
bin11001000011000…
…001010101111010
31002021201111200000
4121003001111322
51330034103310
6105410453430
713261554663
oct3103012572
91067644600
10420222330
111a6228290
12b8894276
13690a1c88
143db4a36a
1526d5a4c0
hex190c157a

420222330 has 192 divisors, whose sum is σ = 1257984000. Its totient is φ = 100077120.

The previous prime is 420222323. The next prime is 420222343. The reversal of 420222330 is 33222024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2111571 + ... + 2111769.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2420222330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992000).

420222330 is an abundant number, since it is smaller than the sum of its proper divisors (837761670).

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

420222330 is a wasteful number, since it uses less digits than its factorization.

420222330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 420222330 is about 20499.3251108421. The cubic root of 420222330 is about 749.0193583481.

Adding to 420222330 its reverse (33222024), we get a palindrome (453444354).

The spelling of 420222330 in words is "four hundred twenty million, two hundred twenty-two thousand, three hundred thirty".