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422304022140 = 22357111329376553
BaseRepresentation
bin1100010010100110100…
…01111111111001111100
31111101001002112002102220
412021103101333321330
523404334312202030
6522000452445340
742340041650430
oct6112321777174
91441032462386
10422304022140
1115310967a350
1269a18919850
1330a91468a90
14166224829c0
15aeb9a7ca10
hex625347fe7c

422304022140 has 768 divisors, whose sum is σ = 1687018475520. Its totient is φ = 76082872320.

The previous prime is 422304022123. The next prime is 422304022199. The reversal of 422304022140 is 41220403224.

It is a super-2 number, since 2×4223040221402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 422304022140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 64441104 + ... + 64447656.

It is an arithmetic number, because the mean of its divisors is an integer number (2196638640).

Almost surely, 2422304022140 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 422304022140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843509237760).

422304022140 is an abundant number, since it is smaller than the sum of its proper divisors (1264714453380).

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

422304022140 is a wasteful number, since it uses less digits than its factorization.

422304022140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6662 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 422304022140 its reverse (41220403224), we get a palindrome (463524425364).

The spelling of 422304022140 in words is "four hundred twenty-two billion, three hundred four million, twenty-two thousand, one hundred forty".