Search a number
-
+
235376152 = 231117433659
BaseRepresentation
bin11100000011110…
…00111000011000
3121101220100101021
432001320320120
5440224014102
635204532224
75555443564
oct1601707030
9541810337
10235376152
11110955650
12669b1074
13399c233b
14233906a4
15159e6137
hexe078e18

235376152 has 64 divisors (see below), whose sum is σ = 521769600. Its totient is φ = 98327040.

The previous prime is 235376137. The next prime is 235376171. The reversal of 235376152 is 251673532.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 2.

It is a congruent number.

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, 62499 + ... + 66157.

It is an arithmetic number, because the mean of its divisors is an integer number (8152650).

Almost surely, 2235376152 is an apocalyptic number.

235376152 is a gapful number since it is divisible by the number (22) 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 235376152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260884800).

235376152 is an abundant number, since it is smaller than the sum of its proper divisors (286393448).

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

235376152 is a wasteful number, since it uses less digits than its factorization.

235376152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3732 counting only the distinct ones).

The product of its digits is 37800, while the sum is 34.

The square root of 235376152 is about 15341.9735366738. The cubic root of 235376152 is about 617.4296571185.

The spelling of 235376152 in words is "two hundred thirty-five million, three hundred seventy-six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 43 44 68 86 88 136 172 187 344 374 473 731 748 946 1462 1496 1892 2924 3659 3784 5848 7318 8041 14636 16082 29272 32164 40249 62203 64328 80498 124406 157337 160996 248812 314674 321992 497624 629348 684233 1258696 1368466 1730707 2674729 2736932 3461414 5349458 5473864 6922828 10698916 13845656 21397832 29422019 58844038 117688076 235376152