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230455044 = 22342113371
BaseRepresentation
bin11011011110001…
…11011100000100
3121001122022220000
431233013130010
5432444030134
634511241300
75465556411
oct1557073404
9531568800
10230455044
111090a4316
1265219230
133898b441
142286d108
1515372e99
hexdbc7704

230455044 has 60 divisors (see below), whose sum is σ = 605489808. Its totient is φ = 76431600.

The previous prime is 230455037. The next prime is 230455051. The reversal of 230455044 is 440554032.

It is an interprime number because it is at equal distance from previous prime (230455037) and next prime (230455051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230454999 and 230455017.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66679 + ... + 70049.

Almost surely, 2230455044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230455044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302744904).

230455044 is an abundant number, since it is smaller than the sum of its proper divisors (375034764).

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

230455044 is a wasteful number, since it uses less digits than its factorization.

230455044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 230455044 is about 15180.7458314801. The cubic root of 230455044 is about 613.0963623243.

The spelling of 230455044 in words is "two hundred thirty million, four hundred fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 324 422 633 844 1266 1899 2532 3371 3798 5697 6742 7596 10113 11394 13484 17091 20226 22788 30339 34182 40452 60678 68364 91017 121356 182034 273051 364068 546102 711281 1092204 1422562 2133843 2845124 4267686 6401529 8535372 12803058 19204587 25606116 38409174 57613761 76818348 115227522 230455044