220221461772 has 192 divisors, whose sum is σ = 642193090560. Its totient is φ = 64754097408.

The previous prime is 220221461771. The next prime is 220221461773. The reversal of 220221461772 is 277164122022.

220221461772 is a `hidden beast` number, since 2 + 2 + 0 + 22 + 14 + 617 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (220221461771) and next prime (220221461773).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220221461771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44334433 + ... + 44339399.

It is an arithmetic number, because the mean of its divisors is an integer number (3344755680).

Almost surely, 2^220221461772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220221461772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321096545280).

220221461772 is an abundant number, since it is smaller than the sum of its proper divisors (421971628788).

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

220221461772 is a wasteful number, since it uses less digits than its factorization.

220221461772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 220221461772 its reverse (277164122022), we get a palindrome (497385583794).

The spelling of 220221461772 in words is "two hundred twenty billion, two hundred twenty-one million, four hundred sixty-one thousand, seven hundred seventy-two".