Search a number
-
+
232445211231552 = 26311424572592253
BaseRepresentation
bin110100110110100001011110…
…001111101100010101000000
31010111000112201102122120021220
4310312201132033230111000
5220431340243033402202
62142211504511315040
766650420011364604
oct6466413617542500
91114015642576256
10232445211231552
11680785079a6a60
12220a1532b1ba80
139c9164919c237
1441585a0359504
151bd16779a4abc
hexd3685e3ec540

232445211231552 has 112 divisors (see below), whose sum is σ = 670937466343872. Its totient is φ = 70436256583680.

The previous prime is 232445211231529. The next prime is 232445211231589. The reversal of 232445211231552 is 255132112544232.

It is a super-3 number, since 3×2324452112315523 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88373058 + ... + 90965310.

It is an arithmetic number, because the mean of its divisors is an integer number (5990513092356).

Almost surely, 2232445211231552 is an apocalyptic number.

232445211231552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232445211231552 is an abundant number, since it is smaller than the sum of its proper divisors (438492255112320).

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

232445211231552 is a wasteful number, since it uses less digits than its factorization.

232445211231552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634736 (or 2634726 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

Adding to 232445211231552 its reverse (255132112544232), we get a palindrome (487577323775784).

The spelling of 232445211231552 in words is "two hundred thirty-two trillion, four hundred forty-five billion, two hundred eleven million, two hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 42457 84914 127371 169828 254742 339656 467027 509484 679312 934054 1018968 1358624 1401081 1868108 2037936 2592253 2717248 2802162 3736216 4075872 5184506 5604324 7472432 7776759 8151744 10369012 11208648 14944864 15553518 20738024 22417296 28514783 29889728 31107036 41476048 44834592 57029566 62214072 82952096 85544349 89669184 114059132 124428144 165904192 171088698 228118264 248856288 342177396 456236528 497712576 684354792 912473056 1368709584 1824946112 2737419168 5474838336 110059285621 220118571242 330177856863 440237142484 660355713726 880474284968 1210652141831 1320711427452 1760948569936 2421304283662 2641422854904 3521897139872 3631956425493 4842608567324 5282845709808 7043794279744 7263912850986 9685217134648 10565691419616 14527825701972 19370434269296 21131382839232 29055651403944 38740868538592 58111302807888 77481737077184 116222605615776 232445211231552