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422579430 = 236573132
BaseRepresentation
bin11001001100000…
…000110011100110
31002110011021000000
4121030000303212
51331140020210
6105533202130
713320603000
oct3114006346
91073137000
10422579430
111a75981a9
12b9630346
1369718b00
14401a1370
1527173ac0
hex19300ce6

422579430 has 336 divisors, whose sum is σ = 1440136800. Its totient is φ = 89159616.

The previous prime is 422579429. The next prime is 422579449. The reversal of 422579430 is 34975224.

422579430 is a `hidden beast` number, since 42 + 2 + 579 + 43 + 0 = 666.

It is a super-3 number, since 3×4225794303 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 32506104 + ... + 32506116.

Almost surely, 2422579430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422579430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720068400).

422579430 is an abundant number, since it is smaller than the sum of its proper divisors (1017557370).

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

422579430 is an equidigital number, since it uses as much as digits as its factorization.

422579430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 422579430 is about 20556.7368519422. The cubic root of 422579430 is about 750.4172078738.

The spelling of 422579430 in words is "four hundred twenty-two million, five hundred seventy-nine thousand, four hundred thirty".