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235368500 = 2253617717
BaseRepresentation
bin11100000011101…
…11000000110100
3121101212221212212
432001313000310
5440223243000
635204432552
75555412353
oct1601670064
9541787785
10235368500
1111094a924
12669a8758
13399bba03
142338b99a
15159e3c35
hexe077034

235368500 has 48 divisors (see below), whose sum is σ = 522539472. Its totient is φ = 92592000.

The previous prime is 235368487. The next prime is 235368503. The reversal of 235368500 is 5863532.

It can be written as a sum of positive squares in 8 ways, for example, as 147233956 + 88134544 = 12134^2 + 9388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235368503) 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, 26642 + ... + 34358.

It is an arithmetic number, because the mean of its divisors is an integer number (10886239).

Almost surely, 2235368500 is an apocalyptic number.

235368500 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 235368500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261269736).

235368500 is an abundant number, since it is smaller than the sum of its proper divisors (287170972).

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

235368500 is a wasteful number, since it uses less digits than its factorization.

235368500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7785 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 235368500 is about 15341.7241534320. The cubic root of 235368500 is about 617.4229662355.

The spelling of 235368500 in words is "two hundred thirty-five million, three hundred sixty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 1220 1525 3050 6100 7625 7717 15250 15434 30500 30868 38585 77170 154340 192925 385850 470737 771700 941474 964625 1882948 1929250 2353685 3858500 4707370 9414740 11768425 23536850 47073700 58842125 117684250 235368500