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2223542880 = 2533513172137
BaseRepresentation
bin1000010010001000…
…1001001001100000
312201221222200102000
42010202021021200
514023211333010
61004350124000
7106046542206
oct20442111140
95657880360
102223542880
11a4114a749
125207b0600
13295885560
14171449076
15d031c7c0
hex84889260

2223542880 has 576 divisors, whose sum is σ = 8968034880. Its totient is φ = 511377408.

The previous prime is 2223542851. The next prime is 2223542891. The reversal of 2223542880 is 882453222.

2223542880 is a `hidden beast` number, since 2 + 22 + 354 + 288 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16230172 + ... + 16230308.

It is an arithmetic number, because the mean of its divisors is an integer number (15569505).

Almost surely, 22223542880 is an apocalyptic number.

2223542880 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 2223542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484017440).

2223542880 is an abundant number, since it is smaller than the sum of its proper divisors (6744492000).

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

2223542880 is a wasteful number, since it uses less digits than its factorization.

2223542880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2223542880 is about 47154.4576895971. The cubic root of 2223542880 is about 1305.2143392160.

The spelling of 2223542880 in words is "two billion, two hundred twenty-three million, five hundred forty-two thousand, eight hundred eighty".