Search a number
-
+
32301032232 = 23371919152981
BaseRepresentation
bin11110000101010010…
…101010001100101000
310002101010002110012010
4132011102222030220
51012123031012412
622501111115520
72222310146430
oct360522521450
9102333073163
1032301032232
11127760aa667
126315672ba0
13307a00c031
1417c5ca52c0
15c90b5133c
hex7854aa328

32301032232 has 128 divisors (see below), whose sum is σ = 97656422400. Its totient is φ = 8697196800.

The previous prime is 32301032221. The next prime is 32301032279. The reversal of 32301032232 is 23223010323.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 32301032199 and 32301032208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583182 + ... + 636162.

It is an arithmetic number, because the mean of its divisors is an integer number (762940800).

Almost surely, 232301032232 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 32301032232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48828211200).

32301032232 is an abundant number, since it is smaller than the sum of its proper divisors (65355390168).

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

32301032232 is a wasteful number, since it uses less digits than its factorization.

32301032232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53207 (or 53203 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 32301032232 its reverse (23223010323), we get a palindrome (55524042555).

The spelling of 32301032232 in words is "thirty-two billion, three hundred one million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 191 228 266 382 399 456 532 573 764 798 1064 1146 1337 1528 1596 2292 2674 3192 3629 4011 4584 5348 7258 8022 10696 10887 14516 16044 21774 25403 29032 32088 43548 50806 52981 76209 87096 101612 105962 152418 158943 203224 211924 304836 317886 370867 423848 609672 635772 741734 1006639 1112601 1271544 1483468 2013278 2225202 2966936 3019917 4026556 4450404 6039834 7046473 8053112 8900808 10119371 12079668 14092946 20238742 21139419 24159336 28185892 30358113 40477484 42278838 56371784 60716226 70835597 80954968 84557676 121432452 141671194 169115352 192268049 212506791 242864904 283342388 384536098 425013582 566684776 576804147 769072196 850027164 1153608294 1345876343 1538144392 1700054328 2307216588 2691752686 4037629029 4614433176 5383505372 8075258058 10767010744 16150516116 32301032232