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2220013230240 = 253513253516359
BaseRepresentation
bin100000010011100011000…
…110011001100010100000
321212020020112112222012010
4200103203012121202200
5242333041341331430
64415505432032520
7316250666051061
oct40234306314240
97766215488163
102220013230240
11786558658093
122ba305b32740
13131466c11100
14796408dc568
153cb33432cb0
hex204e31998a0

2220013230240 has 288 divisors, whose sum is σ = 7715236314240. Its totient is φ = 536153100288.

The previous prime is 2220013230167. The next prime is 2220013230359. The reversal of 2220013230240 is 420323100222.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4041181 + ... + 4557539.

It is an arithmetic number, because the mean of its divisors is an integer number (26789014980).

Almost surely, 22220013230240 is an apocalyptic number.

2220013230240 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 2220013230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857618157120).

2220013230240 is an abundant number, since it is smaller than the sum of its proper divisors (5495223084000).

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

2220013230240 is a wasteful number, since it uses less digits than its factorization.

2220013230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516456 (or 516435 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2220013230240 its reverse (420323100222), we get a palindrome (2640336330462).

The spelling of 2220013230240 in words is "two trillion, two hundred twenty billion, thirteen million, two hundred thirty thousand, two hundred forty".