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22248144 = 2432154501
BaseRepresentation
bin101010011011…
…1101011010000
31112212022201100
41110313223100
521143420034
62112504400
7360051252
oct124675320
945768640
1022248144
11116163a6
12754b100
1347bc7a9
142d51cd2
151e47099
hex1537ad0

22248144 has 30 divisors (see below), whose sum is σ = 62264306. Its totient is φ = 7416000.

The previous prime is 22248139. The next prime is 22248151. The reversal of 22248144 is 44184222.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 345744 = 4680^2 + 588^2 .

It is a super-2 number, since 2×222481442 = 989959822889472, 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 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 5 ways as a sum of consecutive naturals, for example, 77107 + ... + 77394.

Almost surely, 222248144 is an apocalyptic number.

22248144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22248144 is an abundant number, since it is smaller than the sum of its proper divisors (40016162).

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

22248144 is a wasteful number, since it uses less digits than its factorization.

22248144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154515 (or 154506 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 22248144 is about 4716.7938263189. The cubic root of 22248144 is about 281.2534956603.

The spelling of 22248144 in words is "twenty-two million, two hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 154501 309002 463503 618004 927006 1236008 1390509 1854012 2472016 2781018 3708024 5562036 7416048 11124072 22248144