221545928700 has 216 divisors, whose sum is σ = 712475731968. Its totient is φ = 57550469760.

The previous prime is 221545928687. The next prime is 221545928729. The reversal of 221545928700 is 7829545122.

221545928700 is a `hidden beast` number, since 2 + 2 + 1 + 54 + 592 + 8 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14814627 + ... + 14829573.

Almost surely, 2^221545928700 is an apocalyptic number.

221545928700 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 221545928700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356237865984).

221545928700 is an abundant number, since it is smaller than the sum of its proper divisors (490929803268).

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

221545928700 is a wasteful number, since it uses less digits than its factorization.

221545928700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15393 (or 15383 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 221545928700 in words is "two hundred twenty-one billion, five hundred forty-five million, nine hundred twenty-eight thousand, seven hundred".