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230409216 = 21032231087
BaseRepresentation
bin11011011101111…
…00010000000000
3121001120000000200
431232330100000
5432441043331
634510245200
75465305662
oct1556742000
9531500020
10230409216
11109072944
12651b6800
133897361b
142285a532
15153645e6
hexdbbc400

230409216 has 132 divisors (see below), whose sum is σ = 694866432. Its totient is φ = 73396224.

The previous prime is 230409197. The next prime is 230409227. The reversal of 230409216 is 612904032.

230409216 is a `hidden beast` number, since 230 + 409 + 21 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 230409216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211425 + ... + 212511.

Almost surely, 2230409216 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 230409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347433216).

230409216 is an abundant number, since it is smaller than the sum of its proper divisors (464457216).

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

230409216 is a wasteful number, since it uses less digits than its factorization.

230409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230409216 is about 15179.2363444279. The cubic root of 230409216 is about 613.0557197731.

The spelling of 230409216 in words is "two hundred thirty million, four hundred nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1087 1104 1152 1472 1536 1656 2174 2208 2304 2944 3072 3261 3312 4348 4416 4608 5888 6522 6624 8696 8832 9216 9783 11776 13044 13248 17392 17664 19566 23552 25001 26088 26496 34784 35328 39132 50002 52176 52992 69568 70656 75003 78264 100004 104352 105984 139136 150006 156528 200008 208704 211968 225009 278272 300012 313056 400016 417408 450018 556544 600024 626112 800032 834816 900036 1113088 1200048 1252224 1600064 1669632 1800072 2400096 2504448 3200128 3339264 3600144 4800192 5008896 6400256 7200288 9600384 10017792 12800512 14400576 19200768 25601024 28801152 38401536 57602304 76803072 115204608 230409216