Search a number
-
+
232235022122004 = 223114165816520457
BaseRepresentation
bin110100110011011101101101…
…111111110111110000010100
31010110021110011222202111010210
4310303131231333313300110
5220414414311130401004
62141531144001245420
766626266225420056
oct6463355577676024
91113243158674123
10232235022122004
1167aa73576a6a70
1222068853033870
139c7788cc4c575
14414c340d698d6
151bcae74c6a089
hexd3376dff7c14

232235022122004 has 96 divisors (see below), whose sum is σ = 605653941094272. Its totient is φ = 68647360768000.

The previous prime is 232235022121969. The next prime is 232235022122053. The reversal of 232235022122004 is 400221220532232.

It is a congruent number.

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, 32356144 + ... + 38876600.

It is an arithmetic number, because the mean of its divisors is an integer number (6308895219732).

Almost surely, 2232235022122004 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 232235022122004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302826970547136).

232235022122004 is an abundant number, since it is smaller than the sum of its proper divisors (373418918972268).

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

232235022122004 is a wasteful number, since it uses less digits than its factorization.

232235022122004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6527097 (or 6527095 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 232235022122004 its reverse (400221220532232), we get a palindrome (632456242654236).

The spelling of 232235022122004 in words is "two hundred thirty-two trillion, two hundred thirty-five billion, twenty-two million, one hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 6581 13162 19743 26324 39486 72391 78972 144782 217173 269821 289564 434346 539642 809463 868692 1079284 1618926 2968031 3237852 5936062 6520457 8904093 11872124 13040914 17808186 19561371 26081828 35616372 39122742 71725027 78245484 143450054 215175081 267338737 286900108 430350162 534677474 802016211 860700324 1069354948 1604032422 2940726107 3208064844 5881452214 8822178321 11762904428 17644356642 35288713284 42911127517 85822255034 128733382551 171644510068 257466765102 472022402687 514933530204 944044805374 1416067208061 1759356228197 1888089610748 2832134416122 3518712456394 5278068684591 5664268832244 7037424912788 10556137369182 19352918510167 21112274738364 38705837020334 58058755530501 77411674040668 116117511061002 232235022122004