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230528736 = 2532800447
BaseRepresentation
bin11011011110110…
…01011011100000
3121001210001222100
431233121123200
5433003404421
634513010400
75466314304
oct1557313340
9531701870
10230528736
11109144719
1265253a00
13389b5b49
142288bd04
1515389c26
hexdbd96e0

230528736 has 36 divisors (see below), whose sum is σ = 655566912. Its totient is φ = 76842816.

The previous prime is 230528717. The next prime is 230528761. The reversal of 230528736 is 637825032.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 230528736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 399936 + ... + 400511.

It is an arithmetic number, because the mean of its divisors is an integer number (18210192).

Almost surely, 2230528736 is an apocalyptic number.

It is an amenable number.

230528736 is an abundant number, since it is smaller than the sum of its proper divisors (425038176).

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

230528736 is a wasteful number, since it uses less digits than its factorization.

230528736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800463 (or 800452 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 230528736 is about 15183.1727909551. The cubic root of 230528736 is about 613.1617047608.

The spelling of 230528736 in words is "two hundred thirty million, five hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 800447 1600894 2401341 3201788 4802682 6403576 7204023 9605364 12807152 14408046 19210728 25614304 28816092 38421456 57632184 76842912 115264368 230528736