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229539840 = 21535467
BaseRepresentation
bin11011010111010…
…00000000000000
3120222220211110120
431223220000000
5432230233330
634435500240
75455025235
oct1553500000
9528824416
10229539840
11108629752
1264a57680
133872a9ba
14226b178c
1515241c10
hexdae8000

229539840 has 128 divisors (see below), whose sum is σ = 736089120. Its totient is φ = 61079552.

The previous prime is 229539833. The next prime is 229539847. The reversal of 229539840 is 48935922.

It is an interprime number because it is at equal distance from previous prime (229539833) and next prime (229539847).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 229539792 and 229539801.

It is not an unprimeable number, because it can be changed into a prime (229539847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491287 + ... + 491753.

Almost surely, 2229539840 is an apocalyptic number.

229539840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368044560).

229539840 is an abundant number, since it is smaller than the sum of its proper divisors (506549280).

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

229539840 is an frugal number, since it uses more digits than its factorization.

229539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 229539840 is about 15150.5722664195. The cubic root of 229539840 is about 612.2836909370.

The spelling of 229539840 in words is "two hundred twenty-nine million, five hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 467 480 512 640 768 934 960 1024 1280 1401 1536 1868 1920 2048 2335 2560 2802 3072 3736 3840 4096 4670 5120 5604 6144 7005 7472 7680 8192 9340 10240 11208 12288 14010 14944 15360 16384 18680 20480 22416 24576 28020 29888 30720 32768 37360 40960 44832 49152 56040 59776 61440 74720 81920 89664 98304 112080 119552 122880 149440 163840 179328 224160 239104 245760 298880 358656 448320 478208 491520 597760 717312 896640 956416 1195520 1434624 1793280 1912832 2391040 2869248 3586560 3825664 4782080 5738496 7173120 7651328 9564160 11476992 14346240 15302656 19128320 22953984 28692480 38256640 45907968 57384960 76513280 114769920 229539840