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235412000 = 2553229257
BaseRepresentation
bin11100000100000…
…01101000100000
3121101222011112222
432002001220200
5440231141000
635205410212
75555653235
oct1602015040
9541864488
10235412000
1111097a57a
1266a09968
1339a05755
142339d78c
1515a01a85
hexe081a20

235412000 has 96 divisors (see below), whose sum is σ = 583193520. Its totient is φ = 93388800.

The previous prime is 235411997. The next prime is 235412003. The reversal of 235412000 is 214532.

It is an interprime number because it is at equal distance from previous prime (235411997) and next prime (235412003).

It can be written as a sum of positive squares in 8 ways, for example, as 114147856 + 121264144 = 10684^2 + 11012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 235412000.

It is not an unprimeable number, because it can be changed into a prime (235412003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915872 + ... + 916128.

Almost surely, 2235412000 is an apocalyptic number.

235412000 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 235412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291596760).

235412000 is an abundant number, since it is smaller than the sum of its proper divisors (347781520).

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

235412000 is a wasteful number, since it uses less digits than its factorization.

235412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 235412000 is about 15343.1417903896. The cubic root of 235412000 is about 617.4610005584.

Adding to 235412000 its reverse (214532), we get a palindrome (235626532).

The spelling of 235412000 in words is "two hundred thirty-five million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 229 250 257 400 458 500 514 800 916 1000 1028 1145 1285 1832 2000 2056 2290 2570 3664 4000 4112 4580 5140 5725 6425 7328 8224 9160 10280 11450 12850 18320 20560 22900 25700 28625 32125 36640 41120 45800 51400 57250 58853 64250 91600 102800 114500 117706 128500 183200 205600 229000 235412 257000 294265 458000 470824 514000 588530 916000 941648 1028000 1177060 1471325 1883296 2354120 2942650 4708240 5885300 7356625 9416480 11770600 14713250 23541200 29426500 47082400 58853000 117706000 235412000