224626020 has 72 divisors (see below), whose sum is σ = 636972672. Its totient is φ = 59145600.

The previous prime is 224626013. The next prime is 224626057. The reversal of 224626020 is 20626422.

It is a super-3 number, since 3×224626020³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 611877 + ... + 612243.

Almost surely, 2^224626020 is an apocalyptic number.

224626020 is a gapful number since it is divisible by the number (20) 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 224626020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318486336).

224626020 is an abundant number, since it is smaller than the sum of its proper divisors (412346652).

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

224626020 is a wasteful number, since it uses less digits than its factorization.

224626020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 224626020 is about 14987.5288156520. The cubic root of 224626020 is about 607.8830316597.

It can be divided in two parts, 22462 and 6020, that added together give a palindrome (28482).

The spelling of 224626020 in words is "two hundred twenty-four million, six hundred twenty-six thousand, twenty".