Search a number
-
+
232212343004432 = 24717891370340047
BaseRepresentation
bin110100110011001000100110…
…001101111001110100010000
31010110012021122102222221111022
4310303020212031321310100
5220414031334302120212
62141512513325135012
766624534222202550
oct6463104615716420
91113167572887438
10232212343004432
1167a9877995429a
12220643839ba468
139c756b74c017b
14414b1ccd29160
151bca598be1772
hexd33226379d10

232212343004432 has 80 divisors (see below), whose sum is σ = 550547817684480. Its totient is φ = 92613061668864.

The previous prime is 232212343004419. The next prime is 232212343004489. The reversal of 232212343004432 is 234400343212232.

It is a junction number, because it is equal to n+sod(n) for n = 232212343004392 and 232212343004401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685000568 + ... + 685339479.

It is an arithmetic number, because the mean of its divisors is an integer number (6881847721056).

Almost surely, 2232212343004432 is an apocalyptic number.

It is an amenable number.

232212343004432 is an abundant number, since it is smaller than the sum of its proper divisors (318335474680048).

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

232212343004432 is a wasteful number, since it uses less digits than its factorization.

232212343004432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370340168 (or 1370340162 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 232212343004432 its reverse (234400343212232), we get a palindrome (466612686216664).

The spelling of 232212343004432 in words is "two hundred thirty-two trillion, two hundred twelve billion, three hundred forty-three million, four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 89 112 119 136 178 238 272 356 476 623 712 952 1246 1424 1513 1904 2492 3026 4984 6052 9968 10591 12104 21182 24208 42364 84728 169456 1370340047 2740680094 5481360188 9592380329 10962720376 19184760658 21925440752 23295780799 38369521316 46591561598 76739042632 93183123196 121960264183 153478085264 163070465593 186366246392 243920528366 326140931186 372732492784 487841056732 652281862372 853721849281 975682113464 1304563724744 1707443698562 1951364226928 2073324491111 2609127449488 3414887397124 4146648982222 6829774794248 8293297964444 13659549588496 14513271437777 16586595928888 29026542875554 33173191857776 58053085751108 116106171502216 232212343004432