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231344230224 = 243311271936343
BaseRepresentation
bin1101011101110100110…
…0001100111101010000
3211010010202222120002010
43113131030030331100
512242243110331344
6254140021422520
722466632340262
oct3273514147520
9733122876063
10231344230224
118a1268722a8
1238a0486aa40
1318a7b037373
14b2a8c81b32
1560400c88b9
hex35dd30cf50

231344230224 has 160 divisors (see below), whose sum is σ = 625095737344. Its totient is φ = 73644318720.

The previous prime is 231344230199. The next prime is 231344230319. The reversal of 231344230224 is 422032443132.

It is a junction number, because it is equal to n+sod(n) for n = 231344230191 and 231344230200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36469197 + ... + 36475539.

Almost surely, 2231344230224 is an apocalyptic number.

231344230224 is a gapful number since it is divisible by the number (24) 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 231344230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312547868672).

231344230224 is an abundant number, since it is smaller than the sum of its proper divisors (393751507120).

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

231344230224 is a wasteful number, since it uses less digits than its factorization.

231344230224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 231344230224 its reverse (422032443132), we get a palindrome (653376673356).

The spelling of 231344230224 in words is "two hundred thirty-one billion, three hundred forty-four million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 127 186 193 248 254 372 381 386 496 508 579 744 762 772 1016 1158 1488 1524 1544 2032 2316 3048 3088 3937 4632 5983 6096 6343 7874 9264 11811 11966 12686 15748 17949 19029 23622 23932 24511 25372 31496 35898 38058 47244 47864 49022 50744 62992 71796 73533 76116 94488 95728 98044 101488 143592 147066 152232 188976 196088 196633 287184 294132 304464 392176 393266 588264 589899 759841 786532 805561 1176528 1179798 1224199 1519682 1573064 1611122 2279523 2359596 2416683 2448398 3039364 3146128 3222244 3672597 4559046 4719192 4833366 4896796 6078728 6444488 7345194 9118092 9438384 9666732 9793592 12157456 12888976 14690388 18236184 19333464 19587184 24972391 29380776 36472368 37950169 38666928 49944782 58761552 74917173 75900338 99889564 113850507 149834346 151800676 155473273 199779128 227701014 299668692 303601352 310946546 399558256 455402028 466419819 599337384 607202704 621893092 910804056 932839638 1198674768 1243786184 1821608112 1865679276 2487572368 3731358552 4819671463 7462717104 9639342926 14459014389 19278685852 28918028778 38557371704 57836057556 77114743408 115672115112 231344230224