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235897920 = 2634519479
BaseRepresentation
bin11100000111110…
…00010001000000
3121102212212010000
432003320101000
5440342213140
635224040000
75563046016
oct1603702100
9542785100
10235897920
11111181665
1267003000
1339b4598b
14234888b6
1515a9aa30
hexe0f8440

235897920 has 280 divisors, whose sum is σ = 885139200. Its totient is φ = 59470848.

The previous prime is 235897897. The next prime is 235897927. The reversal of 235897920 is 29798532.

235897920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (235897927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492241 + ... + 492719.

Almost surely, 2235897920 is an apocalyptic number.

235897920 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 235897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442569600).

235897920 is an abundant number, since it is smaller than the sum of its proper divisors (649241280).

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

235897920 is a wasteful number, since it uses less digits than its factorization.

235897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 235897920 is about 15358.9687153793. The cubic root of 235897920 is about 617.8855476616.

The spelling of 235897920 in words is "two hundred thirty-five million, eight hundred ninety-seven thousand, nine hundred twenty".