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32234113230 = 2351128321289
BaseRepresentation
bin11110000001010011…
…011000100011001110
310002012110011121120120
4132001103120203032
51012003413110410
622450320525410
72220535304334
oct360123304316
9102173147516
1032234113230
1112741353400
1262b7180866
1330691ab9a7
1417bb045b54
15c89d33570
hex7814d88ce

32234113230 has 144 divisors (see below), whose sum is σ = 86137747920. Its totient is φ = 7714192640.

The previous prime is 32234113201. The next prime is 32234113231. The reversal of 32234113230 is 3231143223.

It is a super-2 number, since 2×322341132302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32234113230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32234113231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25006426 + ... + 25007714.

It is an arithmetic number, because the mean of its divisors is an integer number (598178805).

Almost surely, 232234113230 is an apocalyptic number.

32234113230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32234113230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43068873960).

32234113230 is an abundant number, since it is smaller than the sum of its proper divisors (53903634690).

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

32234113230 is a wasteful number, since it uses less digits than its factorization.

32234113230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32234113230 its reverse (3231143223), we get a palindrome (35465256453).

The spelling of 32234113230 in words is "thirty-two billion, two hundred thirty-four million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 121 165 166 242 249 330 363 415 498 605 726 830 913 1210 1245 1289 1815 1826 2490 2578 2739 3630 3867 4565 5478 6445 6889 7734 9130 10043 12890 13695 13778 14179 19335 20086 20667 27390 28358 30129 34445 38670 41334 42537 50215 60258 68890 70895 75779 85074 100430 103335 106987 141790 150645 151558 155969 206670 212685 213974 227337 301290 311938 320961 378895 425370 454674 467907 534935 641922 757790 779845 833569 935814 1069870 1136685 1176857 1559690 1604805 1667138 2273370 2339535 2353714 2500707 3209610 3530571 4167845 4679070 5001414 5884285 7061142 8335690 8879921 11768570 12503535 12945427 17652855 17759842 25007070 25890854 26639763 35305710 38836281 44399605 53279526 64727135 77672562 88799210 97679131 129454270 133198815 194181405 195358262 266397630 293037393 388362810 488395655 586074786 976791310 1074470441 1465186965 2148940882 2930373930 3223411323 5372352205 6446822646 10744704410 16117056615 32234113230