10222043832 has 896 divisors, whose sum is σ = 41249295360. Its totient is φ = 2284277760.

The previous prime is 10222043827. The next prime is 10222043903. The reversal of 10222043832 is 23834022201.

10222043832 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 438 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10222043796 and 10222043805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 99243093 + ... + 99243195.

It is an arithmetic number, because the mean of its divisors is an integer number (46037160).

Almost surely, 2^10222043832 is an apocalyptic number.

10222043832 is a gapful number since it is divisible by the number (12) 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 10222043832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624647680).

10222043832 is an abundant number, since it is smaller than the sum of its proper divisors (31027251528).

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

10222043832 is a wasteful number, since it uses less digits than its factorization.

10222043832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 10222043832 in words is "ten billion, two hundred twenty-two million, forty-three thousand, eight hundred thirty-two".