Search a number
-
+
232205002512444 = 223213496164535283
BaseRepresentation
bin110100110011000001110000…
…101100001001100000111100
31010110011120200212120022111200
4310303001300230021200330
5220413421321120344234
62141505301105015500
766624154300066353
oct6463016054114074
91113146625508450
10232205002512444
1167a95652389a95
1222062a75624590
139c74ab77ac9a0
14414aad409899a
151bca2b956ad99
hexd33070b0983c

232205002512444 has 36 divisors (see below), whose sum is σ = 632113617951816. Its totient is φ = 71447693080608.

The previous prime is 232205002512401. The next prime is 232205002512491. The reversal of 232205002512444 is 444215200502232.

232205002512444 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 0 + 500 + 25 + 124 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232205002512399 and 232205002512408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248082267174 + ... + 248082268109.

Almost surely, 2232205002512444 is an apocalyptic number.

It is an amenable number.

232205002512444 is an abundant number, since it is smaller than the sum of its proper divisors (399908615439372).

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

232205002512444 is a wasteful number, since it uses less digits than its factorization.

232205002512444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496164535306 (or 496164535301 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 232205002512444 in words is "two hundred thirty-two trillion, two hundred five billion, two million, five hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 496164535283 992329070566 1488493605849 1984658141132 2976987211698 4465480817547 5953974423396 6450138958679 8930961635094 12900277917358 17861923270188 19350416876037 25800555834716 38700833752074 58051250628111 77401667504148 116102501256222 232205002512444