Search a number
-
+
230025216 = 2113291291
BaseRepresentation
bin11011011010111…
…10100000000000
3121000211111021110
431231132200000
5432341301331
634454123320
75462116311
oct1555364000
9530744243
10230025216
11108930393
1265050540
133886a8c5
142279a608
15152da946
hexdb5e800

230025216 has 96 divisors (see below), whose sum is σ = 634888800. Its totient is φ = 73973760.

The previous prime is 230025209. The next prime is 230025251. The reversal of 230025216 is 612520032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 230025192 and 230025201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177531 + ... + 178821.

It is an arithmetic number, because the mean of its divisors is an integer number (6613425).

Almost surely, 2230025216 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 230025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317444400).

230025216 is an abundant number, since it is smaller than the sum of its proper divisors (404863584).

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

230025216 is a wasteful number, since it uses less digits than its factorization.

230025216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 230025216 is about 15166.5822122191. The cubic root of 230025216 is about 612.7149575101.

Adding to 230025216 its reverse (612520032), we get a palindrome (842545248).

The spelling of 230025216 in words is "two hundred thirty million, twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1291 1392 1536 1856 2048 2582 2784 3072 3712 3873 5164 5568 6144 7424 7746 10328 11136 14848 15492 20656 22272 29696 30984 37439 41312 44544 59392 61968 74878 82624 89088 112317 123936 149756 165248 178176 224634 247872 299512 330496 449268 495744 599024 660992 898536 991488 1198048 1321984 1797072 1982976 2396096 2643968 3594144 3965952 4792192 7188288 7931904 9584384 14376576 19168768 28753152 38337536 57506304 76675072 115012608 230025216