Search a number
-
+
235123152 = 243111014409
BaseRepresentation
bin11100000001110…
…11000111010000
3121101102111022220
432000323013100
5440142420102
635155301040
75553341145
oct1600730720
9541374286
10235123152
111107a2560
12668aa780
1339934134
14233263cc
15159961bc
hexe03b1d0

235123152 has 80 divisors (see below), whose sum is σ = 669332160. Its totient is φ = 70528000.

The previous prime is 235123139. The next prime is 235123171. The reversal of 235123152 is 251321532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 51124 + ... + 55532.

It is an arithmetic number, because the mean of its divisors is an integer number (8366652).

Almost surely, 2235123152 is an apocalyptic number.

235123152 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 235123152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334666080).

235123152 is an abundant number, since it is smaller than the sum of its proper divisors (434209008).

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

235123152 is a wasteful number, since it uses less digits than its factorization.

235123152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4526 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 235123152 is about 15333.7259659875. The cubic root of 235123152 is about 617.2083578577.

Adding to 235123152 its reverse (251321532), we get a palindrome (486444684).

The spelling of 235123152 in words is "two hundred thirty-five million, one hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4409 4444 4848 6666 8818 8888 13227 13332 17636 17776 26454 26664 35272 48499 52908 53328 70544 96998 105816 145497 193996 211632 290994 387992 445309 581988 775984 890618 1163976 1335927 1781236 2327952 2671854 3562472 4898399 5343708 7124944 9796798 10687416 14695197 19593596 21374832 29390394 39187192 58780788 78374384 117561576 235123152