221061420 has 96 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 58594752.

The previous prime is 221061413. The next prime is 221061437. The reversal of 221061420 is 24160122.

221061420 is a `hidden beast` number, since 22 + 10 + 614 + 20 = 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 = 221061393 and 221061402.

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, 95517 + ... + 97803.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^221061420 is an apocalyptic number.

221061420 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 221061420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

221061420 is an abundant number, since it is smaller than the sum of its proper divisors (470829780).

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

221061420 is a wasteful number, since it uses less digits than its factorization.

221061420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221061420 is about 14868.1343819593. The cubic root of 221061420 is about 604.6503637430.

The spelling of 221061420 in words is "two hundred twenty-one million, sixty-one thousand, four hundred twenty".