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2220161054256 = 243241376043539
BaseRepresentation
bin100000010011101011111…
…010010011011000110000
321212020121211201012121200
4200103223322103120300
5242333342212214011
64415532232251200
7316254442405635
oct40235372233060
97766554635550
102220161054256
117866240434a2
122ba347540b00
1313148b72a742
14796563bc18c
153cb413d2856
hex204ebe93630

2220161054256 has 60 divisors (see below), whose sum is σ = 6364912958040. Its totient is φ = 722003592960.

The previous prime is 2220161054249. The next prime is 2220161054269. The reversal of 2220161054256 is 6524501610222.

2220161054256 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 1 + 61 + 0 + 542 + 56 = 666.

It is a super-3 number, since 3×22201610542563 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2220161054256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188015866 + ... + 188027673.

It is an arithmetic number, because the mean of its divisors is an integer number (106081882634).

Almost surely, 22220161054256 is an apocalyptic number.

It is an amenable number.

2220161054256 is an abundant number, since it is smaller than the sum of its proper divisors (4144751903784).

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

2220161054256 is a wasteful number, since it uses less digits than its factorization.

2220161054256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376043594 (or 376043585 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 2220161054256 its reverse (6524501610222), we get a palindrome (8744662664478).

The spelling of 2220161054256 in words is "two trillion, two hundred twenty billion, one hundred sixty-one million, fifty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 376043539 752087078 1128130617 1504174156 2256261234 3008348312 3384391851 4512522468 6016696624 6768783702 9025044936 13537567404 15417785099 18050089872 27075134808 30835570198 46253355297 54150269616 61671140396 92506710594 123342280792 138760065891 185013421188 246684561584 277520131782 370026842376 555040263564 740053684752 1110080527128 2220161054256