220034000 has 40 divisors (see below), whose sum is σ = 532047048. Its totient is φ = 88012800.

The previous prime is 220033981. The next prime is 220034021. The reversal of 220034000 is 430022.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 219750976 = 532^2 + 14824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×220034000² = 96829922312000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53009 + ... + 57008.

Almost surely, 2^220034000 is an apocalyptic number.

220034000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220034000 is an abundant number, since it is smaller than the sum of its proper divisors (312013048).

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

220034000 is a wasteful number, since it uses less digits than its factorization.

220034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110040 (or 110024 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 220034000 is about 14833.5430696783. The cubic root of 220034000 is about 603.7121707998.

Adding to 220034000 its reverse (430022), we get a palindrome (220464022).

The spelling of 220034000 in words is "two hundred twenty million, thirty-four thousand".