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20228574931992 = 23327331121256983
BaseRepresentation
bin1001001100101110101010…
…00001011110110000011000
32122121211111011112010201200
410212113111001132300120
510122411110140310432
6111004513512114200
74155315641624340
oct446272501366030
978554434463650
1020228574931992
116499988211609
122328524995960
13b3971468039b
144dd0d53cbd20
152512d1c8ba7c
hex1265d505ec18

20228574931992 has 96 divisors (see below), whose sum is σ = 62801417153280. Its totient is φ = 5762131784640.

The previous prime is 20228574931987. The next prime is 20228574931997. The reversal of 20228574931992 is 29913947582202.

20228574931992 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 8 + 57 + 493 + 1 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (20228574931987) and next prime (20228574931997).

It is a super-4 number, since 4×202285749319924 (a number of 54 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20228574931997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60461668 + ... + 60795315.

It is an arithmetic number, because the mean of its divisors is an integer number (654181428680).

Almost surely, 220228574931992 is an apocalyptic number.

It is an amenable number.

20228574931992 is an abundant number, since it is smaller than the sum of its proper divisors (42572842221288).

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

20228574931992 is a wasteful number, since it uses less digits than its factorization.

20228574931992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121257333 (or 121257326 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 20228574931992 in words is "twenty trillion, two hundred twenty-eight billion, five hundred seventy-four million, nine hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 331 504 662 993 1324 1986 2317 2648 2979 3972 4634 5958 6951 7944 9268 11916 13902 18536 20853 23832 27804 41706 55608 83412 166824 121256983 242513966 363770949 485027932 727541898 848798881 970055864 1091312847 1455083796 1697597762 2182625694 2546396643 2910167592 3395195524 4365251388 5092793286 6790391048 7639189929 8730502776 10185586572 15278379858 20371173144 30556759716 40136061373 61113519432 80272122746 120408184119 160544245492 240816368238 280952429611 321088490984 361224552357 481632736476 561904859222 722449104714 842857288833 963265472952 1123809718444 1444898209428 1685714577666 2247619436888 2528571866499 2889796418856 3371429155332 5057143732998 6742858310664 10114287465996 20228574931992