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222324412020000 = 2535435331048799
BaseRepresentation
bin110010100011001111101111…
…100110100111010100100000
31002011012000011112101112211020
4302203033233212213110200
5213120030343434120000
62104502231440045440
764554260120454123
oct6243175746472440
91064160145345736
10222324412020000
1164926287666404
1220b27b63903880
1397091433c1614
143cc87b7ac23ba
151aa827c83cba0
hexca33ef9a7520

222324412020000 has 240 divisors, whose sum is σ = 729475648070400. Its totient is φ = 59269672576000.

The previous prime is 222324412019999. The next prime is 222324412020041. The reversal of 222324412020000 is 20214423222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 211455601 + ... + 212504399.

It is an arithmetic number, because the mean of its divisors is an integer number (3039481866960).

Almost surely, 2222324412020000 is an apocalyptic number.

222324412020000 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 222324412020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364737824035200).

222324412020000 is an abundant number, since it is smaller than the sum of its proper divisors (507151236050400).

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

222324412020000 is a wasteful number, since it uses less digits than its factorization.

222324412020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052365 (or 1052342 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 222324412020000 its reverse (20214423222), we get a palindrome (222344626443222).

The spelling of 222324412020000 in words is "two hundred twenty-two trillion, three hundred twenty-four billion, four hundred twelve million, twenty thousand".