Search a number
-
+
229386816 = 263444249
BaseRepresentation
bin11011010110000…
…10101001000000
3120222122001120000
431223002221000
5432210334231
634432320000
75453520141
oct1553025100
9528561500
10229386816
1110853478a
12649a3000
13386a6159
1422671ac8
15152116e6
hexdac2a40

229386816 has 70 divisors (see below), whose sum is σ = 679989750. Its totient is φ = 76460544.

The previous prime is 229386767. The next prime is 229386821. The reversal of 229386816 is 618683922.

It can be written as a sum of positive squares in only one way, i.e., 127780416 + 101606400 = 11304^2 + 10080^2 .

It is a super-2 number, since 2×2293868162 = 105236622709235712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16941 + ... + 27308.

Almost surely, 2229386816 is an apocalyptic number.

It is an amenable number.

229386816 is an abundant number, since it is smaller than the sum of its proper divisors (450602934).

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

229386816 is an equidigital number, since it uses as much as digits as its factorization.

229386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44273 (or 44254 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 229386816 is about 15145.5213181983. The cubic root of 229386816 is about 612.1475999243.

The spelling of 229386816 in words is "two hundred twenty-nine million, three hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 44249 88498 132747 176996 265494 353992 398241 530988 707984 796482 1061976 1194723 1415968 1592964 2123952 2389446 2831936 3185928 3584169 4247904 4778892 6371856 7168338 8495808 9557784 12743712 14336676 19115568 25487424 28673352 38231136 57346704 76462272 114693408 229386816