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235145152 = 26112111583
BaseRepresentation
bin11100000010000…
…00011111000000
3121101110121111201
432001000133000
5440144121102
635155550544
75553462244
oct1601003700
9541417451
10235145152
11110808040
12668bb454
1339941158
1423330424
151599c987
hexe0407c0

235145152 has 56 divisors (see below), whose sum is σ = 511771392. Its totient is φ = 106310400.

The previous prime is 235145147. The next prime is 235145161. The reversal of 235145152 is 251541532.

It is a self number, because there is not a number n which added to its sum of digits gives 235145152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147753 + ... + 149335.

Almost surely, 2235145152 is an apocalyptic number.

235145152 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 235145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255885696).

235145152 is an abundant number, since it is smaller than the sum of its proper divisors (276626240).

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

235145152 is a wasteful number, since it uses less digits than its factorization.

235145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1807 counting only the distinct ones).

The product of its digits is 6000, while the sum is 28.

The square root of 235145152 is about 15334.4433221425. The cubic root of 235145152 is about 617.2276075719.

Adding to 235145152 its reverse (251541532), we get a palindrome (486686684).

The spelling of 235145152 in words is "two hundred thirty-five million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 211 352 422 704 844 1583 1688 2321 3166 3376 4642 6332 6752 9284 12664 13504 17413 18568 25328 34826 37136 50656 69652 74272 101312 139304 148544 278608 334013 557216 668026 1114432 1336052 2672104 3674143 5344208 7348286 10688416 14696572 21376832 29393144 58786288 117572576 235145152