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230356576821 = 372192672967
BaseRepresentation
bin1101011010001001010…
…0100110101000110101
3211000120221112120022110
43112202110212220311
512233232240424241
6253454020521233
722433310411300
oct3264224465065
9730527476273
10230356576821
118976a311718
1238789b50219
1318951530b77
14b213a29b37
155ed3535816
hex35a2526a35

230356576821 has 108 divisors (see below), whose sum is σ = 383190036768. Its totient is φ = 122716018656.

The previous prime is 230356576819. The next prime is 230356576823. The reversal of 230356576821 is 128675653032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230356576819) and next prime (230356576823).

It is not a de Polignac number, because 230356576821 - 21 = 230356576819 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230356576823) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 238217280 + ... + 238218246.

It is an arithmetic number, because the mean of its divisors is an integer number (3548055896).

Almost surely, 2230356576821 is an apocalyptic number.

230356576821 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230356576821 is a deficient number, since it is larger than the sum of its proper divisors (152833459947).

230356576821 is an equidigital number, since it uses as much as digits as its factorization.

230356576821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 230356576821 in words is "two hundred thirty billion, three hundred fifty-six million, five hundred seventy-six thousand, eight hundred twenty-one".

Divisors: 1 3 7 19 21 49 57 67 133 147 201 361 399 469 931 967 1083 1273 1407 2527 2793 2901 3283 3819 4489 6769 7581 8911 9849 13467 17689 18373 20307 24187 26733 31423 47383 53067 55119 62377 64789 72561 85291 94269 128611 142149 169309 187131 194367 219961 255873 349087 385833 453523 507927 597037 659883 900277 1047261 1185163 1230991 1360569 1620529 1791111 2443609 2700831 3174661 3555489 3692973 4179259 4340863 4861587 7330827 8616937 9523983 11343703 12537777 13022589 17105263 23388829 25850811 30386041 34031109 51315789 60318559 70166487 79405921 82476397 91158123 163721803 180955677 212702287 238217763 247429191 491165409 577334779 638106861 1146052621 1567051543 1732004337 3438157863 4041343453 4701154629 10969360801 12124030359 32908082403 76785525607 230356576821