10333400220 has 216 divisors, whose sum is σ = 37028012112. Its totient is φ = 2312294400.

The previous prime is 10333400197. The next prime is 10333400237. The reversal of 10333400220 is 2200433301.

10333400220 is a `hidden beast` number, since 10 + 3 + 33 + 400 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10333400193 and 10333400202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 319180 + ... + 350060.

It is an arithmetic number, because the mean of its divisors is an integer number (171425982).

Almost surely, 2^10333400220 is an apocalyptic number.

10333400220 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 10333400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514006056).

10333400220 is an abundant number, since it is smaller than the sum of its proper divisors (26694611892).

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

10333400220 is a wasteful number, since it uses less digits than its factorization.

10333400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30933 (or 30915 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10333400220 its reverse (2200433301), we get a palindrome (12533833521).

The spelling of 10333400220 in words is "ten billion, three hundred thirty-three million, four hundred thousand, two hundred twenty".