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235421400 = 2335219107193
BaseRepresentation
bin11100000100000…
…11111011011000
3121101222122110010
432002003323120
5440231441100
635205521520
75556022524
oct1602037330
9541878403
10235421400
11110986645
1266a132a0
1339a09b06
14233a2d84
1515a04750
hexe083ed8

235421400 has 192 divisors, whose sum is σ = 779414400. Its totient is φ = 58613760.

The previous prime is 235421393. The next prime is 235421401. The reversal of 235421400 is 4124532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235421401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219704 + ... + 1219896.

It is an arithmetic number, because the mean of its divisors is an integer number (4059450).

Almost surely, 2235421400 is an apocalyptic number.

235421400 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 235421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389707200).

235421400 is an abundant number, since it is smaller than the sum of its proper divisors (543993000).

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

235421400 is a wasteful number, since it uses less digits than its factorization.

235421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 235421400 is about 15343.4481131198. The cubic root of 235421400 is about 617.4692188539.

Adding to 235421400 its reverse (4124532), we get a palindrome (239545932).

It can be divided in two parts, 23542 and 1400, that added together give a palindrome (24942).

The spelling of 235421400 in words is "two hundred thirty-five million, four hundred twenty-one thousand, four hundred".