219831192152 has 192 divisors, whose sum is σ = 496360788000. Its totient is φ = 90654474240.

The previous prime is 219831192151. The next prime is 219831192167. The reversal of 219831192152 is 251291138912.

219831192152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×219831192152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219831192151) 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, 190659608 + ... + 190660760.

Almost surely, 2^219831192152 is an apocalyptic number.

219831192152 is a gapful number since it is divisible by the number (22) 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 219831192152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248180394000).

219831192152 is an abundant number, since it is smaller than the sum of its proper divisors (276529595848).

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

219831192152 is a wasteful number, since it uses less digits than its factorization.

219831192152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1427 counting only the distinct ones).

The product of its digits is 77760, while the sum is 44.

The spelling of 219831192152 in words is "two hundred nineteen billion, eight hundred thirty-one million, one hundred ninety-two thousand, one hundred fifty-two".