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235055440 = 24529711427
BaseRepresentation
bin11100000001010…
…10100101010000
3121101022001110001
432000222211100
5440133233230
635154015344
75552636554
oct1600524520
9541261401
10235055440
111107566a4
1266877554
133990c379
1423309864
15159810ca
hexe02a950

235055440 has 80 divisors (see below), whose sum is σ = 573713280. Its totient is φ = 89438720.

The previous prime is 235055407. The next prime is 235055449. The reversal of 235055440 is 44550532.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 235055399 and 235055408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235055449) 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, 164007 + ... + 165433.

It is an arithmetic number, because the mean of its divisors is an integer number (7171416).

Almost surely, 2235055440 is an apocalyptic number.

235055440 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 235055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856640).

235055440 is an abundant number, since it is smaller than the sum of its proper divisors (338657840).

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

235055440 is a wasteful number, since it uses less digits than its factorization.

235055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 235055440 is about 15331.5178635385. The cubic root of 235055440 is about 617.1491032012.

The spelling of 235055440 in words is "two hundred thirty-five million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 71 80 116 142 145 232 284 290 355 464 568 580 710 1136 1160 1420 1427 2059 2320 2840 2854 4118 5680 5708 7135 8236 10295 11416 14270 16472 20590 22832 28540 32944 41180 41383 57080 82360 82766 101317 114160 164720 165532 202634 206915 331064 405268 413830 506585 662128 810536 827660 1013170 1621072 1655320 2026340 2938193 3310640 4052680 5876386 8105360 11752772 14690965 23505544 29381930 47011088 58763860 117527720 235055440