Search a number
-
+
265507216 = 241319232127
BaseRepresentation
bin11111101001101…
…01000110010000
3200111121011102121
433310311012100
51020432212331
642202424024
76402526342
oct1764650620
9614534377
10265507216
11126965557
1274b02014
1343011b80
1427395292
1518498c11
hexfd35190

265507216 has 120 divisors (see below), whose sum is σ = 614405120. Its totient is φ = 110170368.

The previous prime is 265507213. The next prime is 265507217. The reversal of 265507216 is 612705562.

265507216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265507211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2090545 + ... + 2090671.

Almost surely, 2265507216 is an apocalyptic number.

265507216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265507216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307202560).

265507216 is an abundant number, since it is smaller than the sum of its proper divisors (348897904).

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

265507216 is a wasteful number, since it uses less digits than its factorization.

265507216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 265507216 is about 16294.3921641772. The cubic root of 265507216 is about 642.7253700234.

The spelling of 265507216 in words is "two hundred sixty-five million, five hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 19 23 26 38 46 52 76 92 104 127 152 184 208 247 254 299 304 368 437 494 508 529 598 874 988 1016 1058 1196 1651 1748 1976 2032 2116 2392 2413 2921 3302 3496 3952 4232 4784 4826 5681 5842 6604 6877 6992 8464 9652 10051 11362 11684 13208 13754 19304 20102 22724 23368 26416 27508 31369 37973 38608 40204 45448 46736 55016 55499 62738 67183 75946 80408 90896 110032 110998 125476 130663 134366 151892 160816 221996 250952 261326 268732 303784 443992 501904 522652 537464 607568 721487 873379 887984 1045304 1074928 1276477 1442974 1746758 2090608 2552954 2885948 3493516 5105908 5771896 6987032 10211816 11543792 13974064 16594201 20423632 33188402 66376804 132753608 265507216