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2233220130240 = 2635113147173839
BaseRepresentation
bin100000011111110110010…
…010101110010111000000
321220111022221200000002120
4200133312102232113000
5243042113323131430
64425532133444240
7320226163621521
oct40376622562700
97814287600076
102233220130240
117911155a8580
12300990aa0680
13132790114938
147a134924848
153d157b03610
hex207f64ae5c0

2233220130240 has 896 divisors, whose sum is σ = 8211376373760. Its totient is φ = 509203660800.

The previous prime is 2233220130233. The next prime is 2233220130293. The reversal of 2233220130240 is 420310223322.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2233220130240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2661763741 + ... + 2661764579.

It is an arithmetic number, because the mean of its divisors is an integer number (9164482560).

Almost surely, 22233220130240 is an apocalyptic number.

2233220130240 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 2233220130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105688186880).

2233220130240 is an abundant number, since it is smaller than the sum of its proper divisors (5978156243520).

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

2233220130240 is a wasteful number, since it uses less digits than its factorization.

2233220130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2233220130240 its reverse (420310223322), we get a palindrome (2653530353562).

The spelling of 2233220130240 in words is "two trillion, two hundred thirty-three billion, two hundred twenty million, one hundred thirty thousand, two hundred forty".