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201123223440 = 24354717830073
BaseRepresentation
bin1011101101001111100…
…0001101011110010000
3201020010121211100101120
42323103320031132100
511243400021122230
6232221132402240
720350010122626
oct2732370153620
9636117740346
10201123223440
11783288a8637
1232b8b916380
1315c72c41529
149a3d347516
155371d96310
hex2ed3e0d790

201123223440 has 80 divisors (see below), whose sum is σ = 636747602688. Its totient is φ = 52491731968.

The previous prime is 201123223423. The next prime is 201123223451. The reversal of 201123223440 is 44322321102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 201123223440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8903757 + ... + 8926316.

Almost surely, 2201123223440 is an apocalyptic number.

201123223440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201123223440 is an abundant number, since it is smaller than the sum of its proper divisors (435624379248).

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

201123223440 is a wasteful number, since it uses less digits than its factorization.

201123223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17830136 (or 17830130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201123223440 its reverse (44322321102), we get a palindrome (245445544542).

The spelling of 201123223440 in words is "two hundred one billion, one hundred twenty-three million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 17830073 35660146 53490219 71320292 89150365 106980438 142640584 178300730 213960876 267451095 285281168 356601460 427921752 534902190 713202920 838013431 855843504 1069804380 1426405840 1676026862 2139608760 2514040293 3352053724 4190067155 4279217520 5028080586 6704107448 8380134310 10056161172 12570201465 13408214896 16760268620 20112322344 25140402930 33520537240 40224644688 50280805860 67041074480 100561611720 201123223440