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223221241321020 = 223356110316572843
BaseRepresentation
bin110010110000010010111110…
…110010111001011000111100
31002021100202001002221102202000
4302300102332302321120330
5213224224100234233040
62110430231140302300
765006126310652245
oct6260227662713074
91067322032842660
10223221241321020
11651416623a6118
12210519320a1990
139772898cca987
143d19d73d49ccc
151ac176b808130
hexcb04becb963c

223221241321020 has 192 divisors, whose sum is σ = 706535508833280. Its totient is φ = 58493035526400.

The previous prime is 223221241320989. The next prime is 223221241321021. The reversal of 223221241321020 is 20123142122322.

223221241321020 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 12 + 413 + 210 + 20 = 666.

It is a super-4 number, since 4×2232212413210204 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223221241321021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30674719 + ... + 37247561.

It is an arithmetic number, because the mean of its divisors is an integer number (3679872441840).

Almost surely, 2223221241321020 is an apocalyptic number.

223221241321020 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 223221241321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353267754416640).

223221241321020 is an abundant number, since it is smaller than the sum of its proper divisors (483314267512260).

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

223221241321020 is a wasteful number, since it uses less digits than its factorization.

223221241321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573953 (or 6573945 counting only the distinct ones).

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

Adding to 223221241321020 its reverse (20123142122322), we get a palindrome (243344383443342).

The spelling of 223221241321020 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, two hundred forty-one million, three hundred twenty-one thousand, twenty".