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2422216224 = 253883139
BaseRepresentation
bin1001000001100000…
…0001011000100000
320020210211100000000
42100120001120200
514430041404344
61040204300000
7114011332611
oct22030013040
96223740000
102422216224
11103330699a
12577241600
132c7a96a4c
1418d9a3c08
15e29b3a69
hex90601620

2422216224 has 216 divisors, whose sum is σ = 7291000080. Its totient is φ = 791938944.

The previous prime is 2422216193. The next prime is 2422216249. The reversal of 2422216224 is 4226122242.

2422216224 is a `hidden beast` number, since 2 + 422 + 2 + 16 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6144) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17425947 + ... + 17426085.

It is an arithmetic number, because the mean of its divisors is an integer number (33754630).

Almost surely, 22422216224 is an apocalyptic number.

2422216224 is a gapful number since it is divisible by the number (24) 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 2422216224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645500040).

2422216224 is an abundant number, since it is smaller than the sum of its proper divisors (4868783856).

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

2422216224 is an frugal number, since it uses more digits than its factorization.

2422216224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2422216224 is about 49216.0159297764. The cubic root of 2422216224 is about 1342.9844049517.

Adding to 2422216224 its reverse (4226122242), we get a palindrome (6648338466).

The spelling of 2422216224 in words is "two billion, four hundred twenty-two million, two hundred sixteen thousand, two hundred twenty-four".