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2222985461760 = 214355724353
BaseRepresentation
bin100000010110010100010…
…000100100000000000000
321212111220200022222100000
4200112110100210000000
5242410133234234020
64421120405200000
7316414436441100
oct40262420440000
97774820288300
102222985461760
11787843381678
122ba9b5400000
1313181b92229b
1479843557200
153cc5933e090
hex20594424000

2222985461760 has 2160 divisors, whose sum is σ = 9691937551296. Its totient is φ = 486930382848.

The previous prime is 2222985461743. The next prime is 2222985461779. The reversal of 2222985461760 is 671645892222.

2222985461760 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 98 + 546 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2222985461697 and 2222985461706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41943121894 + ... + 41943121946.

Almost surely, 22222985461760 is an apocalyptic number.

2222985461760 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 2222985461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845968775648).

2222985461760 is an abundant number, since it is smaller than the sum of its proper divisors (7468952089536).

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

2222985461760 is an frugal number, since it uses more digits than its factorization.

2222985461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2222985461760 in words is "two trillion, two hundred twenty-two billion, nine hundred eighty-five million, four hundred sixty-one thousand, seven hundred sixty".