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422021420223219 = 323110335940907093
BaseRepresentation
bin101111111110100111000010…
…0110101110000101011110011
32001100020212001101111120000100
41133331032010311300223303
5420303344332034120334
64053321544115523443
7154615020132240555
oct13775160465605363
92040225041446010
10422021420223219
11112518308705233
123b3ba6b38b9583
13151635aba8013b
14762dd350d54d5
1533bcb2b749c99
hex17fd384d70af3

422021420223219 has 48 divisors (see below), whose sum is σ = 637129625333760. Its totient is φ = 268877406864960.

The previous prime is 422021420223187. The next prime is 422021420223329. The reversal of 422021420223219 is 912322024120224.

422021420223219 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 2 + 1 + 420 + 223 + 2 + 1 + 9 = 666.

It is not a de Polignac number, because 422021420223219 - 25 = 422021420223187 is a prime.

It is a super-2 number, since 2×4220214202232192 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422021420323219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10136964 + ... + 30770129.

It is an arithmetic number, because the mean of its divisors is an integer number (13273533861120).

Almost surely, 2422021420223219 is an apocalyptic number.

422021420223219 is a deficient number, since it is larger than the sum of its proper divisors (215108205110541).

422021420223219 is a wasteful number, since it uses less digits than its factorization.

422021420223219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40907592 (or 40907589 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 422021420223219 in words is "four hundred twenty-two trillion, twenty-one billion, four hundred twenty million, two hundred twenty-three thousand, two hundred nineteen".

Divisors: 1 3 9 31 93 103 279 309 359 927 1077 3193 3231 9579 11129 28737 33387 36977 100161 110931 332793 1146287 3438861 10316583 40907093 122721279 368163837 1268119883 3804359649 4213430579 11413078947 12640291737 14685646387 37920875211 44056939161 130616347949 132170817483 391849043847 455255037997 1175547131541 1365765113991 1512621577861 4097295341973 4537864733583 13613594200749 46891268913691 140673806741073 422021420223219