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2222364480 = 263572231483
BaseRepresentation
bin1000010001110110…
…1001011101000000
312201212202210221120
42010131221131000
514022411130410
61004304552240
7106033533510
oct20435513500
95655683846
102222364480
11a40515366
12520322680
1329556208b
1417121d840
15d0188570
hex84769740

2222364480 has 224 divisors, whose sum is σ = 8105631744. Its totient is φ = 505350144.

The previous prime is 2222364461. The next prime is 2222364499. The reversal of 2222364480 is 844632222.

It is an interprime number because it is at equal distance from previous prime (2222364461) and next prime (2222364499).

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 1497819 + ... + 1499301.

It is an arithmetic number, because the mean of its divisors is an integer number (36185856).

Almost surely, 22222364480 is an apocalyptic number.

2222364480 is a gapful number since it is divisible by the number (20) 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 2222364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052815872).

2222364480 is an abundant number, since it is smaller than the sum of its proper divisors (5883267264).

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

2222364480 is a wasteful number, since it uses less digits than its factorization.

2222364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2222364480 is about 47141.9609265461. The cubic root of 2222364480 is about 1304.9837258140.

The spelling of 2222364480 in words is "two billion, two hundred twenty-two million, three hundred sixty-four thousand, four hundred eighty".