221690238000 has 1280 divisors, whose sum is σ = 961255047168. Its totient is φ = 42577920000.

The previous prime is 221690237963. The next prime is 221690238037. The reversal of 221690238000 is 832096122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221690237963) and next prime (221690238037).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 329405664 + ... + 329406336.

Almost surely, 2^221690238000 is an apocalyptic number.

221690238000 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 221690238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480627523584).

221690238000 is an abundant number, since it is smaller than the sum of its proper divisors (739564809168).

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

221690238000 is a wasteful number, since it uses less digits than its factorization.

221690238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 221690238000 in words is "two hundred twenty-one billion, six hundred ninety million, two hundred thirty-eight thousand".