221434000020 has 96 divisors (see below), whose sum is σ = 689199114240. Its totient is φ = 59023923840.

The previous prime is 221434000003. The next prime is 221434000061. The reversal of 221434000020 is 20000434122.

221434000020 is a `hidden beast` number, since 221 + 43 + 400 + 0 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221433999957 and 221434000002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1199629 + ... + 1371851.

It is an arithmetic number, because the mean of its divisors is an integer number (7179157440).

Almost surely, 2^221434000020 is an apocalyptic number.

221434000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221434000020 is an abundant number, since it is smaller than the sum of its proper divisors (467765114220).

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

221434000020 is a wasteful number, since it uses less digits than its factorization.

221434000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174622 (or 174614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 221434000020 its reverse (20000434122), we get a palindrome (241434434142).

The spelling of 221434000020 in words is "two hundred twenty-one billion, four hundred thirty-four million, twenty", and thus it is an aban number.