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235248975 = 335213171983
BaseRepresentation
bin11100000010110…
…01110101001111
3121101122212221000
432001121311033
5440210431400
635202111343
75554404033
oct1601316517
9541585830
10235248975
11110879045
126694b553
13399794a0
142335a1c3
15159bd600
hexe059d4f

235248975 has 192 divisors, whose sum is σ = 524966400. Its totient is φ = 102021120.

The previous prime is 235248971. The next prime is 235249019. The reversal of 235248975 is 579842532.

It is not a de Polignac number, because 235248975 - 22 = 235248971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (604800) is a multiple of the sum of its prime divisors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 235248975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235248971) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2834284 + ... + 2834366.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2235248975 is an apocalyptic number.

235248975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

235248975 is an abundant number, since it is smaller than the sum of its proper divisors (289717425).

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

235248975 is a wasteful number, since it uses less digits than its factorization.

235248975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 235248975 is about 15337.8282360965. The cubic root of 235248975 is about 617.3184351483.

The spelling of 235248975 in words is "two hundred thirty-five million, two hundred forty-eight thousand, nine hundred seventy-five".