220753000 has 64 divisors (see below), whose sum is σ = 556330320. Its totient is φ = 81504000.

The previous prime is 220752997. The next prime is 220753009. The reversal of 220753000 is 357022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20304036 + 200448964 = 4506^2 + 14158^2 .

It is a super-3 number, since 3×220753000³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (220753009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4510 + ... + 21490.

Almost surely, 2^220753000 is an apocalyptic number.

220753000 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 220753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278165160).

220753000 is an abundant number, since it is smaller than the sum of its proper divisors (335577320).

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

220753000 is a wasteful number, since it uses less digits than its factorization.

220753000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17015 (or 17001 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 220753000 is about 14857.7589157988. The cubic root of 220753000 is about 604.3690345999.

The spelling of 220753000 in words is "two hundred twenty million, seven hundred fifty-three thousand".