Search a number
-
+
22019017431768 = 2337836315672077
BaseRepresentation
bin1010000000110101100111…
…01101100101101011011000
32212221222221011221222122120
411000122303231211223120
510341224421430304033
6114455221424421240
74431551531024310
oct500326355455330
985858834858576
1022019017431768
11701a23833a885
122577524477820
13c394cc7a9cc6
14561a24702440
15282b726e31b3
hex1406b3b65ad8

22019017431768 has 64 divisors (see below), whose sum is σ = 62919004988160. Its totient is φ = 6290395176576.

The previous prime is 22019017431767. The next prime is 22019017431779. The reversal of 22019017431768 is 86713471091022.

It is a self number, because there is not a number n which added to its sum of digits gives 22019017431768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22019017431767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6431055 + ... + 9241022.

It is an arithmetic number, because the mean of its divisors is an integer number (983109452940).

Almost surely, 222019017431768 is an apocalyptic number.

22019017431768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22019017431768 is an abundant number, since it is smaller than the sum of its proper divisors (40899987556392).

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

22019017431768 is a wasteful number, since it uses less digits than its factorization.

22019017431768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15680456 (or 15680452 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 22019017431768 in words is "twenty-two trillion, nineteen billion, seventeen million, four hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 8363 16726 25089 33452 50178 58541 66904 100356 117082 175623 200712 234164 351246 468328 702492 1404984 15672077 31344154 47016231 62688308 94032462 109704539 125376616 188064924 219409078 329113617 376129848 438818156 658227234 877636312 1316454468 2632908936 131065579951 262131159902 393196739853 524262319804 786393479706 917459059657 1048524639608 1572786959412 1834918119314 2752377178971 3145573918824 3669836238628 5504754357942 7339672477256 11009508715884 22019017431768