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230454936 = 23336591619
BaseRepresentation
bin11011011110001…
…11011010011000
3121001122022202000
431233013122120
5432444024221
634511241000
75465556165
oct1557073230
9531568660
10230454936
111090a4228
1265219160
133898b38a
142286d06c
1515372e26
hexdbc7698

230454936 has 64 divisors (see below), whose sum is σ = 641520000. Its totient is φ = 76654368.

The previous prime is 230454923. The next prime is 230454937. The reversal of 230454936 is 639454032.

It is a super-3 number, since 3×2304549363 (a number of 26 digits) contains 333 as substring.

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 230454936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230454937) 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, 141535 + ... + 143153.

It is an arithmetic number, because the mean of its divisors is an integer number (10023750).

Almost surely, 2230454936 is an apocalyptic number.

It is an amenable number.

230454936 is an abundant number, since it is smaller than the sum of its proper divisors (411065064).

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

230454936 is a wasteful number, since it uses less digits than its factorization.

230454936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 230454936 is about 15180.7422743422. The cubic root of 230454936 is about 613.0962665508.

The spelling of 230454936 in words is "two hundred thirty million, four hundred fifty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 659 1318 1619 1977 2636 3238 3954 4857 5272 5931 6476 7908 9714 11862 12952 14571 15816 17793 19428 23724 29142 35586 38856 43713 47448 58284 71172 87426 116568 142344 174852 349704 1066921 2133842 3200763 4267684 6401526 8535368 9602289 12803052 19204578 25606104 28806867 38409156 57613734 76818312 115227468 230454936