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235242100 = 225212718523
BaseRepresentation
bin11100000010110…
…00001001110100
3121101122112111101
432001120021310
5440210221400
635202015444
75554345012
oct1601301164
9541575441
10235242100
11110873965
1266947584
1339976312
14233578b2
15159bb56a
hexe058274

235242100 has 36 divisors (see below), whose sum is σ = 514522624. Its totient is φ = 93350880.

The previous prime is 235242067. The next prime is 235242109. The reversal of 235242100 is 1242532.

It is a super-2 number, since 2×2352421002 = 110677691224820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235242109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3439 + ... + 21961.

Almost surely, 2235242100 is an apocalyptic number.

235242100 is a gapful number since it is divisible by the number (20) 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 235242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257261312).

235242100 is an abundant number, since it is smaller than the sum of its proper divisors (279280524).

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

235242100 is a wasteful number, since it uses less digits than its factorization.

235242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18664 (or 18657 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 235242100 is about 15337.6041153760. The cubic root of 235242100 is about 617.3124215117.

Adding to 235242100 its reverse (1242532), we get a palindrome (236484632).

The spelling of 235242100 in words is "two hundred thirty-five million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 12700 18523 37046 74092 92615 185230 370460 463075 926150 1852300 2352421 4704842 9409684 11762105 23524210 47048420 58810525 117621050 235242100