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221234313344 = 2711181868103
BaseRepresentation
bin1100111000001010010…
…1111011100010000000
3210011001012101120100012
43032002211323202000
512111041441011334
6245344511044052
721661251431042
oct3160245734200
9704035346305
10221234313344
11859090030a0
1236a62b10628
1317b29643625
14a9ca2a9a92
155b4c7579ce
hex338297b880

221234313344 has 64 divisors (see below), whose sum is σ = 483464479680. Its totient is φ = 100005350400.

The previous prime is 221234313341. The next prime is 221234313371. The reversal of 221234313344 is 443313432122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 221234313344.

It is not an unprimeable number, because it can be changed into a prime (221234313341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179204 + ... + 688899.

It is an arithmetic number, because the mean of its divisors is an integer number (7554132495).

Almost surely, 2221234313344 is an apocalyptic number.

It is an amenable number.

221234313344 is an abundant number, since it is smaller than the sum of its proper divisors (262230166336).

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

221234313344 is a wasteful number, since it uses less digits than its factorization.

221234313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868309 (or 868297 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 221234313344 its reverse (443313432122), we get a palindrome (664547745466).

The spelling of 221234313344 in words is "two hundred twenty-one billion, two hundred thirty-four million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 181 352 362 704 724 1408 1448 1991 2896 3982 5792 7964 11584 15928 23168 31856 63712 127424 254848 868103 1736206 3472412 6944824 9549133 13889648 19098266 27779296 38196532 55558592 76393064 111117184 152786128 157126643 305572256 314253286 611144512 628506572 1222289024 1257013144 1728393073 2514026288 3456786146 5028052576 6913572292 10056105152 13827144584 20112210304 27654289168 55308578336 110617156672 221234313344