224000314142100 has 36 divisors (see below), whose sum is σ = 648107575585344. Its totient is φ = 59733417104480.

The previous prime is 224000314142083. The next prime is 224000314142117. The reversal of 224000314142100 is 1241413000422.

It is an interprime number because it is at equal distance from previous prime (224000314142083) and next prime (224000314142117).

It is a super-2 number, since 2×224000314142100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373333856604 + ... + 373333857203.

It is an arithmetic number, because the mean of its divisors is an integer number (18002988210704).

Almost surely, 2^{224000314142100} is an apocalyptic number.

224000314142100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224000314142100 is an abundant number, since it is smaller than the sum of its proper divisors (424107261443244).

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

224000314142100 is a wasteful number, since it uses less digits than its factorization.

224000314142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746667713824 (or 746667713817 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 224000314142100 its reverse (1241413000422), we get a palindrome (225241727142522).

The spelling of 224000314142100 in words is "two hundred twenty-four trillion, three hundred fourteen million, one hundred forty-two thousand, one hundred".