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422220240 = 243251379571
BaseRepresentation
bin11001001010101…
…001000111010000
31002102111000021200
4121022221013100
51331042021430
6105521351200
713314545541
oct3112510720
91072430250
10422220240
111a7372352
12b9498500
1369621480
144010a4c8
1527102460
hex192a91d0

422220240 has 240 divisors, whose sum is σ = 1549067520. Its totient is φ = 102435840.

The previous prime is 422220233. The next prime is 422220277. The reversal of 422220240 is 42022224.

422220240 is a `hidden beast` number, since 422 + 2 + 2 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739155 + ... + 739725.

It is an arithmetic number, because the mean of its divisors is an integer number (6454448).

Almost surely, 2422220240 is an apocalyptic number.

422220240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774533760).

422220240 is an abundant number, since it is smaller than the sum of its proper divisors (1126847280).

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

422220240 is a wasteful number, since it uses less digits than its factorization.

422220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 422220240 is about 20547.9984426708. The cubic root of 422220240 is about 750.2045308844.

Adding to 422220240 its reverse (42022224), we get a palindrome (464242464).

The spelling of 422220240 in words is "four hundred twenty-two million, two hundred twenty thousand, two hundred forty".