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229042656200 = 23524327872
BaseRepresentation
bin1101010101010000000…
…0011001001111001000
3210220012101011111001202
43111110000121033020
512223034404444300
6253115403003332
722355614312031
oct3252400311710
9726171144052
10229042656200
1189155676706
1238481b09548
13187a2260947
14b12b323a88
155e57ee5ad5
hex35540193c8

229042656200 has 108 divisors (see below), whose sum is σ = 545890098465. Its totient is φ = 89372727360.

The previous prime is 229042656197. The next prime is 229042656281. The reversal of 229042656200 is 2656240922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 224461803076 + 4580853124 = 473774^2 + 67682^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338410.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 291032207 + ... + 291032993.

Almost surely, 2229042656200 is an apocalyptic number.

229042656200 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 229042656200

229042656200 is an abundant number, since it is smaller than the sum of its proper divisors (316847442265).

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

229042656200 is an frugal number, since it uses more digits than its factorization.

229042656200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 229042656200 in words is "two hundred twenty-nine billion, forty-two million, six hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 787 860 1075 1574 1720 1849 2150 3148 3698 3935 4300 6296 7396 7870 8600 9245 14792 15740 18490 19675 31480 33841 36980 39350 46225 67682 73960 78700 92450 135364 157400 169205 184900 270728 338410 369800 619369 676820 846025 1238738 1353640 1455163 1692050 2477476 2910326 3096845 3384100 4954952 5820652 6193690 6768200 7275815 11641304 12387380 14551630 15484225 24774760 26632867 29103260 30968450 36379075 53265734 58206520 61936900 72758150 106531468 123873800 133164335 145516300 213062936 266328670 291032600 532657340 665821675 1065314680 1145213281 1331643350 2290426562 2663286700 4580853124 5326573400 5726066405 9161706248 11452132810 22904265620 28630332025 45808531240 57260664050 114521328100 229042656200