10220223200 has 288 divisors, whose sum is σ = 29385931680. Its totient is φ = 3429171200.

The previous prime is 10220223197. The next prime is 10220223203. The reversal of 10220223200 is 232202201.

It is an interprime number because it is at equal distance from previous prime (10220223197) and next prime (10220223203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220223203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7928156 + ... + 7929444.

It is an arithmetic number, because the mean of its divisors is an integer number (102034485).

Almost surely, 2^10220223200 is an apocalyptic number.

10220223200 is a gapful number since it is divisible by the number (10) 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 10220223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692965840).

10220223200 is an abundant number, since it is smaller than the sum of its proper divisors (19165708480).

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

10220223200 is a wasteful number, since it uses less digits than its factorization.

10220223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10220223200 its reverse (232202201), we get a palindrome (10452425401).

The spelling of 10220223200 in words is "ten billion, two hundred twenty million, two hundred twenty-three thousand, two hundred".