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221222848 = 267211353
BaseRepresentation
bin11010010111110…
…01011111000000
3120102021021200211
431023321133000
5423113112343
633541323504
75324235400
oct1513713700
9512237624
10221222848
11103969000
1262106594
1336aa81c2
1421548800
151464c79d
hexd2f97c0

221222848 has 168 divisors, whose sum is σ = 572286384. Its totient is φ = 84564480.

The previous prime is 221222791. The next prime is 221222849. The reversal of 221222848 is 848222122.

221222848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2212228482 = 97879096954462208, which contains 22 as substring.

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 (221222849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4173990 + ... + 4174042.

Almost surely, 2221222848 is an apocalyptic number.

221222848 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 221222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286143192).

221222848 is an abundant number, since it is smaller than the sum of its proper divisors (351063536).

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

221222848 is an equidigital number, since it uses as much as digits as its factorization.

221222848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its digits is 8192, while the sum is 31.

The square root of 221222848 is about 14873.5620481444. The cubic root of 221222848 is about 604.7975079916.

The spelling of 221222848 in words is "two hundred twenty-one million, two hundred twenty-two thousand, eight hundred forty-eight".