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230454756 = 223272339761
BaseRepresentation
bin11011011110001…
…11010111100100
3121001122022111100
431233013113210
5432444023011
634511240100
75465555520
oct1557072744
9531568440
10230454756
111090a4084
1265219030
133898b27c
142286cd80
1515372d56
hexdbc75e4

230454756 has 72 divisors (see below), whose sum is σ = 694721664. Its totient is φ = 62979840.

The previous prime is 230454751. The next prime is 230454773. The reversal of 230454756 is 657454032.

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 230454756.

It is not an unprimeable number, because it can be changed into a prime (230454751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14085 + ... + 25676.

It is an arithmetic number, because the mean of its divisors is an integer number (9648912).

Almost surely, 2230454756 is an apocalyptic number.

It is an amenable number.

230454756 is an abundant number, since it is smaller than the sum of its proper divisors (464266908).

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

230454756 is a wasteful number, since it uses less digits than its factorization.

230454756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39801 (or 39796 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 230454756 is about 15180.7363457772. The cubic root of 230454756 is about 613.0961069284.

It can be divided in two parts, 2304 and 54756, that multiplied together give a square (126157824 = 112322).

The spelling of 230454756 in words is "two hundred thirty million, four hundred fifty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 39761 79522 119283 159044 238566 278327 357849 477132 556654 715698 834981 914503 1113308 1431396 1669962 1829006 2504943 2743509 3339924 3658012 5009886 5487018 6401521 8230527 10019772 10974036 12803042 16461054 19204563 25606084 32922108 38409126 57613689 76818252 115227378 230454756