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235284480 = 2113352337
BaseRepresentation
bin11100000011000…
…10100000000000
3121101201200122000
432001202200000
5440213100410
635202544000
75554612404
oct1601424000
9541650560
10235284480
111108a2792
1266968000
133998c6b2
1423369104
15159c8dc0
hexe062800

235284480 has 384 divisors, whose sum is σ = 896313600. Its totient is φ = 58392576.

The previous prime is 235284479. The next prime is 235284481. The reversal of 235284480 is 84482532.

It is an interprime number because it is at equal distance from previous prime (235284479) and next prime (235284481).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235284481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6359022 + ... + 6359058.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 2235284480 is an apocalyptic number.

235284480 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 235284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

235284480 is an abundant number, since it is smaller than the sum of its proper divisors (661029120).

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

235284480 is a wasteful number, since it uses less digits than its factorization.

235284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 235284480 is about 15338.9856248710. The cubic root of 235284480 is about 617.3494898901.

The spelling of 235284480 in words is "two hundred thirty-five million, two hundred eighty-four thousand, four hundred eighty".