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234023003220 = 223559448114753
BaseRepresentation
bin1101100111110011011…
…0111010010001010100
3211101001110120022210210
43121330312322101110
512313234342100340
6255301513045420
722623210464136
oct3317466722124
9741043508723
10234023003220
1190280980086
12394319b6870
13190b6ccb046
14b48094b056
15614a369180
hex367cdba454

234023003220 has 96 divisors (see below), whose sum is σ = 666564474240. Its totient is φ = 61330554880.

The previous prime is 234023003219. The next prime is 234023003237. The reversal of 234023003220 is 22300320432.

It is a super-2 number, since 2×2340230032202 (a number of 24 digits) contains 22 as substring.

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, 15855364 + ... + 15870116.

It is an arithmetic number, because the mean of its divisors is an integer number (6943379940).

Almost surely, 2234023003220 is an apocalyptic number.

234023003220 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 234023003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333282237120).

234023003220 is an abundant number, since it is smaller than the sum of its proper divisors (432541471020).

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

234023003220 is a wasteful number, since it uses less digits than its factorization.

234023003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19305 (or 19303 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 234023003220 its reverse (22300320432), we get a palindrome (256323323652).

The spelling of 234023003220 in words is "two hundred thirty-four billion, twenty-three million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 4481 8962 13443 14753 17924 22405 26886 29506 44259 44810 53772 59012 67215 73765 88518 89620 134430 147530 177036 221295 264379 268860 295060 442590 528758 793137 870427 885180 1057516 1321895 1586274 1740854 2611281 2643790 3172548 3481708 3965685 4352135 5222562 5287580 7931370 8704270 10445124 13056405 15862740 17408540 26112810 52225620 66108193 132216386 198324579 264432772 330540965 396649158 661081930 793298316 991622895 1322163860 1983245790 3900383387 3966491580 7800766774 11701150161 15601533548 19501916935 23402300322 39003833870 46804600644 58505750805 78007667740 117011501610 234023003220