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1224300220 = 2251113317149
BaseRepresentation
bin100100011111001…
…0101011010111100
310011022201220011121
41020332111122330
510001410101340
6321253000324
742224244253
oct11076253274
93138656147
101224300220
115790a3970
122a20230a4
13166852000
14b885779a
157273a94a
hex48f956bc

1224300220 has 192 divisors, whose sum is σ = 3238704000. Its totient is φ = 384184320.

The previous prime is 1224300199. The next prime is 1224300241. The reversal of 1224300220 is 220034221.

It is an interprime number because it is at equal distance from previous prime (1224300199) and next prime (1224300241).

It is a super-2 number, since 2×12243002202 = 2997822057384096800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1224300194 and 1224300203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8216706 + ... + 8216854.

It is an arithmetic number, because the mean of its divisors is an integer number (16868250).

Almost surely, 21224300220 is an apocalyptic number.

1224300220 is a gapful number since it is divisible by the number (10) 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 1224300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619352000).

1224300220 is an abundant number, since it is smaller than the sum of its proper divisors (2014403780).

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

1224300220 is a wasteful number, since it uses less digits than its factorization.

1224300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1224300220 is about 34990.0017147756. The cubic root of 1224300220 is about 1069.7836986713.

Adding to 1224300220 its reverse (220034221), we get a palindrome (1444334441).

The spelling of 1224300220 in words is "one billion, two hundred twenty-four million, three hundred thousand, two hundred twenty".