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230133023232 = 293761350881
BaseRepresentation
bin1101011001010011111…
…1110100001000000000
3211000000100212212102220
43112110333310020000
512232303023220412
6253415513211040
722424624264460
oct3262477641000
9730010785386
10230133023232
1189665101592
1238727100a80
131891711ab38
14b1d2075ba0
155ebdac768c
hex3594ff4200

230133023232 has 160 divisors (see below), whose sum is σ = 712161335424. Its totient is φ = 64674201600.

The previous prime is 230133023231. The next prime is 230133023249. The reversal of 230133023232 is 232320331032.

It is a super-2 number, since 2×2301330232322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230133023231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480432 + ... + 831312.

Almost surely, 2230133023232 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 230133023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356080667712).

230133023232 is an abundant number, since it is smaller than the sum of its proper divisors (482028312192).

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

230133023232 is an equidigital number, since it uses as much as digits as its factorization.

230133023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350970 (or 350954 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 230133023232 its reverse (232320331032), we get a palindrome (462453354264).

The spelling of 230133023232 in words is "two hundred thirty billion, one hundred thirty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 512 672 732 768 854 896 976 1281 1344 1464 1536 1708 1792 1952 2562 2688 2928 3416 3584 3904 5124 5376 5856 6832 7808 10248 10752 11712 13664 15616 20496 23424 27328 31232 40992 46848 54656 81984 93696 109312 163968 218624 327936 350881 655872 701762 1052643 1403524 2105286 2456167 2807048 4210572 4912334 5614096 7368501 8421144 9824668 11228192 14737002 16842288 19649336 21403741 22456384 29474004 33684576 39298672 42807482 44912768 58948008 64211223 67369152 78597344 85614964 89825536 117896016 128422446 134738304 149826187 157194688 171229928 179651072 235792032 256844892 269476608 299652374 314389376 342459856 449478561 471584064 513689784 538953216 599304748 628778752 684919712 898957122 943168128 1027379568 1198609496 1257557504 1369839424 1797914244 1886336256 2054759136 2397218992 2739678848 3595828488 3772672512 4109518272 4794437984 5479357696 7191656976 8219036544 9588875968 10958715392 14383313952 16438073088 19177751936 28766627904 32876146176 38355503872 57533255808 76711007744 115066511616 230133023232