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230455332 = 2232171919819
BaseRepresentation
bin11011011110001…
…11100000100100
3121001122100021200
431233013200210
5432444032312
634511242500
75465560302
oct1557074044
9531570250
10230455332
111090a4558
1265219430
133898b603
142286d272
15153730dc
hexdbc7824

230455332 has 72 divisors (see below), whose sum is σ = 649303200. Its totient is φ = 68491008.

The previous prime is 230455319. The next prime is 230455363. The reversal of 230455332 is 233554032.

230455332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230455296 and 230455305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1719 + ... + 21537.

It is an arithmetic number, because the mean of its divisors is an integer number (9018100).

Almost surely, 2230455332 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 230455332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324651600).

230455332 is an abundant number, since it is smaller than the sum of its proper divisors (418847868).

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

230455332 is a wasteful number, since it uses less digits than its factorization.

230455332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19865 (or 19860 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 230455332 is about 15180.7553171771. The cubic root of 230455332 is about 613.0966177200.

The spelling of 230455332 in words is "two hundred thirty million, four hundred fifty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 11628 19819 39638 59457 79276 118914 178371 237828 336923 356742 376561 673846 713484 753122 1010769 1129683 1347692 1506244 2021538 2259366 3032307 3389049 4043076 4518732 6064614 6401537 6778098 12129228 12803074 13556196 19204611 25606148 38409222 57613833 76818444 115227666 230455332