Search a number
-
+
232321319984 = 24138313999619
BaseRepresentation
bin1101100001011101101…
…1100000010000110000
3211012122212112212020202
43120113123200100300
512301243224214414
6254421004054332
722533065431415
oct3302733402060
9735585485222
10232321319984
118a5883682a6
1239037b343a8
1318ba55b25a0
14b35c94810c
15609ac819de
hex36176e0430

232321319984 has 80 divisors (see below), whose sum is σ = 490989408000. Its totient is φ = 105846628608.

The previous prime is 232321319869. The next prime is 232321319987. The reversal of 232321319984 is 489913123232.

It is not an unprimeable number, because it can be changed into a prime (232321319987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24147527 + ... + 24157145.

It is an arithmetic number, because the mean of its divisors is an integer number (6137367600).

Almost surely, 2232321319984 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 232321319984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245494704000).

232321319984 is an abundant number, since it is smaller than the sum of its proper divisors (258668088016).

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

232321319984 is a wasteful number, since it uses less digits than its factorization.

232321319984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122 (or 11116 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The spelling of 232321319984 in words is "two hundred thirty-two billion, three hundred twenty-one million, three hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 208 332 664 1079 1328 1399 2158 2798 4316 5596 8632 9619 11192 17264 18187 19238 22384 36374 38476 72748 76952 116117 125047 145496 153904 232234 250094 290992 464468 500188 798377 928936 1000376 1509521 1596754 1857872 2000752 3019042 3193508 6038084 6387016 10378901 12076168 12774032 13456981 20757802 24152336 26913962 41515604 53827924 83031208 107655848 166062416 174940753 215311696 349881506 699763012 1116929423 1399526024 2233858846 2799052048 4467717692 8935435384 14520082499 17870870768 29040164998 58080329996 116160659992 232321319984