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224032131212200 = 23521120160656061
BaseRepresentation
bin110010111100000110001011…
…100110010110001110101000
31002101020021002102022222001121
4302330012023212112032220
5213331020301042242300
62112250535033025024
765121534026213203
oct6274061346261650
91071207072288047
10224032131212200
1165424547622283
1221162b17555174
1398011a712bc2c
143d472da6bc93a
151ad78cab8981a
hexcbc18b9963a8

224032131212200 has 24 divisors (see below), whose sum is σ = 520874705068830. Its totient is φ = 89612852484800.

The previous prime is 224032131212171. The next prime is 224032131212203. The reversal of 224032131212200 is 2212131230422.

It can be written as a sum of positive squares in 3 ways, for example, as 83721804601444 + 140310326610756 = 9149962^2 + 11845266^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (224032131212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560080327831 + ... + 560080328230.

Almost surely, 2224032131212200 is an apocalyptic number.

224032131212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224032131212200 is an abundant number, since it is smaller than the sum of its proper divisors (296842573856630).

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

224032131212200 is a wasteful number, since it uses less digits than its factorization.

224032131212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120160656077 (or 1120160656068 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 224032131212200 its reverse (2212131230422), we get a palindrome (226244262442622).

The spelling of 224032131212200 in words is "two hundred twenty-four trillion, thirty-two billion, one hundred thirty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1120160656061 2240321312122 4480642624244 5600803280305 8961285248488 11201606560610 22403213121220 28004016401525 44806426242440 56008032803050 112016065606100 224032131212200