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230021022034230 = 235710712253835453
BaseRepresentation
bin110100010011001111110001…
…010011110010100100110110
31010011102210110111222210200220
4310103033301103302210312
5220122131023120043410
62133114110531515210
766310320233242410
oct6423176123624466
91104383414883626
10230021022034230
1167323405336909
122196b746a58b06
139b46b73a5922b
1440b3110cdb9b0
151b8d5946b9070
hexd133f14f2936

230021022034230 has 128 divisors (see below), whose sum is σ = 636863937481728. Its totient is φ = 52080553815552.

The previous prime is 230021022034213. The next prime is 230021022034291. The reversal of 230021022034230 is 32430220120032.

It is a self number, because there is not a number n which added to its sum of digits gives 230021022034230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274907184 + ... + 275742636.

It is an arithmetic number, because the mean of its divisors is an integer number (4975499511576).

Almost surely, 2230021022034230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230021022034230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318431968740864).

230021022034230 is an abundant number, since it is smaller than the sum of its proper divisors (406842915447498).

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

230021022034230 is a wasteful number, since it uses less digits than its factorization.

230021022034230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847830.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 230021022034230 its reverse (32430220120032), we get a palindrome (262451242154262).

The spelling of 230021022034230 in words is "two hundred thirty trillion, twenty-one billion, twenty-two million, thirty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 749 1070 1498 1605 2247 3210 3745 4494 7490 11235 12253 22470 24506 36759 61265 73518 85771 122530 171542 183795 257313 367590 428855 514626 835453 857710 1286565 1311071 1670906 2506359 2573130 2622142 3933213 4177265 5012718 5848171 6555355 7866426 8354530 9177497 11696342 12531795 13110710 17544513 18354994 19666065 25063590 27532491 29240855 35089026 39332130 45887485 55064982 58481710 87722565 89393471 91774970 137662455 175445130 178786942 268180413 275324910 446967355 536360826 625754297 893934710 1251508594 1340902065 1877262891 2681804130 3128771485 3754525782 6257542970 9386314455 10236805609 18772628910 20473611218 30710416827 51184028045 61420833654 71657639263 102368056090 143315278526 153552084135 214972917789 307104168270 358288196315 429945835578 716576392630 1074864588945 1095338200163 2149729177890 2190676400326 3286014600489 5476691000815 6572029200978 7667367401141 10953382001630 15334734802282 16430073002445 23002102203423 32860146004890 38336837005705 46004204406846 76673674011410 115010511017115 230021022034230