Search a number
-
+
2312210120 = 2351117476577
BaseRepresentation
bin1000100111010001…
…1000011011001000
312222010211102222212
42021310120123020
514213411210440
61021234404252
7111204314243
oct21164303310
95863742885
102312210120
11a87200760
12546430688
132ab05b98c
1417d12a25a
15d7ed4465
hex89d186c8

2312210120 has 128 divisors (see below), whose sum is σ = 6138063360. Its totient is φ = 774389760.

The previous prime is 2312210093. The next prime is 2312210191. The reversal of 2312210120 is 210122132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2312210095 and 2312210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348272 + ... + 354848.

It is an arithmetic number, because the mean of its divisors is an integer number (47953620).

Almost surely, 22312210120 is an apocalyptic number.

2312210120 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 2312210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069031680).

2312210120 is an abundant number, since it is smaller than the sum of its proper divisors (3825853240).

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

2312210120 is a wasteful number, since it uses less digits than its factorization.

2312210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2312210120 is about 48085.4460309978. The cubic root of 2312210120 is about 1322.3378603234.

Adding to 2312210120 its reverse (210122132), we get a palindrome (2522332252).

The spelling of 2312210120 in words is "two billion, three hundred twelve million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 47 55 68 85 88 94 110 136 170 187 188 220 235 340 374 376 440 470 517 680 748 799 935 940 1034 1496 1598 1870 1880 2068 2585 3196 3740 3995 4136 5170 6392 6577 7480 7990 8789 10340 13154 15980 17578 20680 26308 31960 32885 35156 43945 52616 65770 70312 72347 87890 111809 131540 144694 175780 223618 263080 289388 309119 351560 361735 447236 559045 578776 618238 723470 894472 1118090 1229899 1236476 1446940 1545595 2236180 2459798 2472952 2893880 3091190 3400309 4472360 4919596 5255023 6149495 6182380 6800618 9839192 10510046 12298990 12364760 13601236 17001545 21020092 24597980 26275115 27202472 34003090 42040184 49195960 52550230 57805253 68006180 105100460 115610506 136012360 210200920 231221012 289026265 462442024 578052530 1156105060 2312210120