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22248000 = 263353103
BaseRepresentation
bin101010011011…
…1101001000000
31112212022112000
41110313221000
521143414000
62112504000
7360050655
oct124675100
945768460
1022248000
1111616285
12754b000
1347bc6c8
142d51c2c
151e47000
hex1537a40

22248000 has 224 divisors, whose sum is σ = 82417920. Its totient is φ = 5875200.

The previous prime is 22247963. The next prime is 22248013. The reversal of 22248000 is 84222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215949 + ... + 216051.

Almost surely, 222248000 is an apocalyptic number.

22248000 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 22248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41208960).

22248000 is an abundant number, since it is smaller than the sum of its proper divisors (60169920).

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

22248000 is a wasteful number, since it uses less digits than its factorization.

22248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22248000 is about 4716.7785616881. The cubic root of 22248000 is about 281.2528888592.

The spelling of 22248000 in words is "twenty-two million, two hundred forty-eight thousand".