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221233100220 = 22325111931189701
BaseRepresentation
bin1100111000001010000…
…1010011010110111100
3210011001010002221020200
43032002201103112330
512111041133201340
6245344425043500
721661235216166
oct3160241232674
9704033087220
10221233100220
1185908354710
1236a62626590
1317b2930a3c2
14a9ca071936
155b4c5b8330
hex33828535bc

221233100220 has 288 divisors, whose sum is σ = 795473602560. Its totient is φ = 49170240000.

The previous prime is 221233100183. The next prime is 221233100269. The reversal of 221233100220 is 22001332122.

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 = 221233100193 and 221233100202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1071370 + ... + 1261070.

It is an arithmetic number, because the mean of its divisors is an integer number (2762061120).

Almost surely, 2221233100220 is an apocalyptic number.

221233100220 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 221233100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397736801280).

221233100220 is an abundant number, since it is smaller than the sum of its proper divisors (574240502340).

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

221233100220 is a wasteful number, since it uses less digits than its factorization.

221233100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189777 (or 189772 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221233100220 its reverse (22001332122), we get a palindrome (243234432342).

The spelling of 221233100220 in words is "two hundred twenty-one billion, two hundred thirty-three million, one hundred thousand, two hundred twenty".