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22064264145 = 3257211909679
BaseRepresentation
bin10100100011001000…
…011111001111010001
32002221200210202022100
4110203020133033101
5330141422423040
614045225431013
71410526102500
oct244310371721
962850722270
1022064264145
1193a277a250
12433933b469
132108262b01
1410d450c837
158920c4b30
hex52321f3d1

22064264145 has 72 divisors (see below), whose sum is σ = 48533247360. Its totient is φ = 9169554240.

The previous prime is 22064264137. The next prime is 22064264191. The reversal of 22064264145 is 54146246022.

22064264145 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 4 + 2 + 641 + 4 + 5 = 666.

It is not a de Polignac number, because 22064264145 - 23 = 22064264137 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 430585 + ... + 479094.

It is an arithmetic number, because the mean of its divisors is an integer number (674072880).

Almost surely, 222064264145 is an apocalyptic number.

It is an amenable number.

22064264145 is an abundant number, since it is smaller than the sum of its proper divisors (26468983215).

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

22064264145 is a wasteful number, since it uses less digits than its factorization.

22064264145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909715 (or 909705 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 22064264145 in words is "twenty-two billion, sixty-four million, two hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 1155 1617 2205 2695 3465 4851 8085 24255 909679 2729037 4548395 6367753 8187111 10006469 13645185 19103259 30019407 31838765 40935555 44574271 50032345 57309777 70045283 90058221 95516295 133722813 150097035 210135849 222871355 286548885 350226415 401168439 450291105 490316981 630407547 668614065 1050679245 1470950943 2005842195 2451584905 3152037735 4412852829 7354754715 22064264145