Search a number
-
+
232234404432232 = 234911889263311887
BaseRepresentation
bin110100110011011101001001…
…001011100100100101101000
31010110021101120221110121001211
4310303131021023210211220
5220414412030013312412
62141531002414122504
766626245015223206
oct6463351113444550
91113241527417054
10232234404432232
1167aa706aa66554
12220687001b0434
139c777c1c9bc67
14414c2c2cda076
151bcae3a905ca7
hexd337492e4968

232234404432232 has 64 divisors (see below), whose sum is σ = 436759875014400. Its totient is φ = 115765638696960.

The previous prime is 232234404432227. The next prime is 232234404432337.

232234404432232 is nontrivially palindromic in base 10.

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, 19536832993 + ... + 19536844879.

It is an arithmetic number, because the mean of its divisors is an integer number (6824373047100).

Almost surely, 2232234404432232 is an apocalyptic number.

It is an amenable number.

232234404432232 is a deficient number, since it is larger than the sum of its proper divisors (204525470582168).

232234404432232 is a wasteful number, since it uses less digits than its factorization.

232234404432232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16906 (or 16902 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

It can be divided in two parts, 23223440 and 4432232, that added together give a palindrome (27655672).

The spelling of 232234404432232 in words is "two hundred thirty-two trillion, two hundred thirty-four billion, four hundred four million, four hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 491 982 1889 1964 2633 3778 3928 5266 7556 10532 11887 15112 21064 23774 47548 95096 927499 1292803 1854998 2585606 3709996 4973737 5171212 5836517 7419992 9947474 10342424 11673034 19894948 22454543 23346068 31298471 39789896 44909086 46692136 62596942 89818172 125193884 179636344 250387768 2442104867 4884209734 9768419468 11025180613 15367549261 19536838936 22050361226 30735098522 44100722452 59122811719 61470197044 88201444904 118245623438 122940394088 236491246876 472982493752 29029300554029 58058601108058 116117202216116 232234404432232