243200142200 has 96 divisors (see below), whose sum is σ = 590731164000. Its totient is φ = 92995392000.

The previous prime is 243200142193. The next prime is 243200142233. The reversal of 243200142200 is 2241002342.

It is a super-2 number, since 2×243200142200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378221 + ... + 793379.

It is an arithmetic number, because the mean of its divisors is an integer number (6153449625).

Almost surely, 2^243200142200 is an apocalyptic number.

243200142200 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 243200142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295365582000).

243200142200 is an abundant number, since it is smaller than the sum of its proper divisors (347531021800).

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

243200142200 is a wasteful number, since it uses less digits than its factorization.

243200142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415305 (or 415296 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 243200142200 its reverse (2241002342), we get a palindrome (245441144542).

The spelling of 243200142200 in words is "two hundred forty-three billion, two hundred million, one hundred forty-two thousand, two hundred".