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230423324032 = 271121313372
BaseRepresentation
bin1101011010011001001…
…1001110010110000000
3211000202121010200021101
43112212103032112000
512233401332332112
6253504403304144
722435050636466
oct3264623162600
9730677120241
10230423324032
11897a3a60900
12387a837b054
1318962300c65
14b21c842836
155ed931c757
hex35a64ce580

230423324032 has 144 divisors (see below), whose sum is σ = 509936579460. Its totient is φ = 103629926400.

The previous prime is 230423324017. The next prime is 230423324051.

230423324032 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 683748568 + ... + 683748904.

Almost surely, 2230423324032 is an apocalyptic number.

230423324032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230423324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254968289730).

230423324032 is an abundant number, since it is smaller than the sum of its proper divisors (279513255428).

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

230423324032 is an equidigital number, since it uses as much as digits as its factorization.

230423324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 230423 and 324032, that added together give a palindrome (554455).

The spelling of 230423324032 in words is "two hundred thirty billion, four hundred twenty-three million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 131 176 242 262 337 352 484 524 674 704 968 1048 1348 1408 1441 1936 2096 2696 2882 3707 3872 4192 5392 5764 7414 7744 8384 10784 11528 14828 15488 15851 16768 21568 23056 29656 31702 40777 43136 44147 46112 59312 63404 81554 88294 92224 113569 118624 126808 163108 176588 184448 227138 237248 253616 326216 353176 454276 474496 485617 507232 652432 706352 908552 971234 1014464 1249259 1304864 1412704 1817104 1942468 2028928 2498518 2609728 2825408 3634208 3884936 4997036 5219456 5341787 5650816 7268416 7769872 9994072 10683574 13741849 14536832 14877539 15539744 19988144 21367148 27483698 29755078 31079488 39976288 42734296 54967396 59510156 62158976 79952576 85468592 109934792 119020312 159905152 163652929 170937184 219869584 238040624 327305858 341874368 439739168 476081248 654611716 683748736 879478336 952162496 1309223432 1758956672 1800182219 1904324992 2618446864 3600364438 5236893728 7200728876 10473787456 14401457752 20947574912 28802915504 57605831008 115211662016 230423324032