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23144060205 = 335724491069
BaseRepresentation
bin10101100011011111…
…100101010100101101
32012201221122002001000
4111203133211110231
5334344334411310
614344321310513
71446350160120
oct254337452455
965657562030
1023144060205
1198a7244a92
12459aa95439
13224ab8b5a6
141197aac3b7
15906cb94c0
hex5637e552d

23144060205 has 32 divisors (see below), whose sum is σ = 47022854400. Its totient is φ = 10580141376.

The previous prime is 23144060171. The next prime is 23144060207. The reversal of 23144060205 is 50206044132.

23144060205 is a `hidden beast` number, since 2 + 3 + 14 + 40 + 602 + 0 + 5 = 666.

It is not a de Polignac number, because 23144060205 - 26 = 23144060141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144060207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12244590 + ... + 12246479.

It is an arithmetic number, because the mean of its divisors is an integer number (1469464200).

Almost surely, 223144060205 is an apocalyptic number.

It is an amenable number.

23144060205 is an abundant number, since it is smaller than the sum of its proper divisors (23878794195).

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

23144060205 is a wasteful number, since it uses less digits than its factorization.

23144060205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24491090 (or 24491084 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 23144060205 in words is "twenty-three billion, one hundred forty-four million, sixty thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 24491069 73473207 122455345 171437483 220419621 367366035 514312449 661258863 857187415 1102098105 1542937347 2571562245 3306294315 4628812041 7714686735 23144060205