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222799248 = 2434741599
BaseRepresentation
bin11010100011110…
…10010110010000
3120112020101010000
431101322112100
5424014033443
634035210000
75343522330
oct1521722620
9515211100
10222799248
11104845411
1262746900
133720a899
14218390c0
151485e8d3
hexd47a590

222799248 has 200 divisors, whose sum is σ = 756201600. Its totient is φ = 62000640.

The previous prime is 222799243. The next prime is 222799249. The reversal of 222799248 is 842997222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222799243) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 371653 + ... + 372251.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2222799248 is an apocalyptic number.

222799248 is a gapful number since it is divisible by the number (28) 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 222799248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378100800).

222799248 is an abundant number, since it is smaller than the sum of its proper divisors (533402352).

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

222799248 is a wasteful number, since it uses less digits than its factorization.

222799248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 652 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 222799248 is about 14926.4613354941. The cubic root of 222799248 is about 606.2306738729.

It can be divided in two parts, 2227 and 99248, that added together give a triangular number (101475 = T450).

The spelling of 222799248 in words is "two hundred twenty-two million, seven hundred ninety-nine thousand, two hundred forty-eight".