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230642422188 = 2231929170920411
BaseRepresentation
bin1101011011001101011…
…1000001000110101100
3211001022212102000102220
43112303113001012230
512234323430002223
6253542231315340
722443351145563
oct3266327010654
9731285360386
10230642422188
11898a66a8562
123884981bb50
1318998814039
14b23d996bda
155eed69a6e3
hex35b35c11ac

230642422188 has 96 divisors (see below), whose sum is σ = 586395936000. Its totient is φ = 70278324480.

The previous prime is 230642422181. The next prime is 230642422193. The reversal of 230642422188 is 881224246032.

230642422188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230642422181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11289703 + ... + 11310113.

It is an arithmetic number, because the mean of its divisors is an integer number (6108291000).

Almost surely, 2230642422188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230642422188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293197968000).

230642422188 is an abundant number, since it is smaller than the sum of its proper divisors (355753513812).

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

230642422188 is a wasteful number, since it uses less digits than its factorization.

230642422188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22175 (or 22173 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 230642422188 in words is "two hundred thirty billion, six hundred forty-two million, four hundred twenty-two thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 1102 1653 1709 2204 3306 3418 5127 6612 6836 10254 20411 20508 32471 40822 49561 61233 64942 81644 97413 99122 122466 129884 148683 194826 198244 244932 297366 387809 389652 591919 594732 775618 941659 1163427 1183838 1551236 1775757 1883318 2326854 2367676 2824977 3551514 3766636 4653708 5649954 7103028 11246461 11299908 22492922 33739383 34882399 44985844 67478766 69764798 104647197 134957532 139529596 209294394 418588788 662765581 1011589571 1325531162 1988296743 2023179142 2651062324 3034768713 3976593486 4046358284 6069537426 7953186972 12139074852 19220201849 38440403698 57660605547 76880807396 115321211094 230642422188