224266452442100 has 72 divisors (see below), whose sum is σ = 515603042215128. Its totient is φ = 84377637273600.

The previous prime is 224266452442073. The next prime is 224266452442121. The reversal of 224266452442100 is 1244254662422.

It can be written as a sum of positive squares in 12 ways, for example, as 31089032668516 + 193177419773584 = 5575754^2 + 13898828^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37935677 + ... + 43447076.

It is an arithmetic number, because the mean of its divisors is an integer number (7161153364099).

Almost surely, 2^{224266452442100} is an apocalyptic number.

224266452442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224266452442100 is an abundant number, since it is smaller than the sum of its proper divisors (291336589773028).

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

224266452442100 is a wasteful number, since it uses less digits than its factorization.

224266452442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81384405 (or 81384398 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 44.

The spelling of 224266452442100 in words is "two hundred twenty-four trillion, two hundred sixty-six billion, four hundred fifty-two million, four hundred forty-two thousand, one hundred".