222021000 has 160 divisors (see below), whose sum is σ = 776369880. Its totient is φ = 59184000.

The previous prime is 222020999. The next prime is 222021011. The reversal of 222021000 is 120222.

222021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45077796 + 176943204 = 6714^2 + 13302^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79630 + ... + 82370.

Almost surely, 2^222021000 is an apocalyptic number.

222021000 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 222021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388184940).

222021000 is an abundant number, since it is smaller than the sum of its proper divisors (554348880).

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

222021000 is a wasteful number, since it uses less digits than its factorization.

222021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 222021000 is about 14900.3691229446. The cubic root of 222021000 is about 605.5239865458.

Adding to 222021000 its reverse (120222), we get a palindrome (222141222).

It can be divided in two parts, 2220 and 21000, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 222021000 in words is "two hundred twenty-two million, twenty-one thousand".