Search a number
-
+
2210235043120 = 2451314391476877
BaseRepresentation
bin100000001010011100010…
…001100100110100110000
321211022000002011121010121
4200022130101210310300
5242203030132334440
64411211251340024
7315453453612646
oct40123421446460
97738002147117
102210235043120
117823a0074405
122b84372b1614
13130569177580
1478d93dd9196
153c75ec8c34a
hex2029c464d30

2210235043120 has 80 divisors (see below), whose sum is σ = 5537938049280. Its totient is φ = 815519112192.

The previous prime is 2210235043043. The next prime is 2210235043169. The reversal of 2210235043120 is 213405320122.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758122 + ... + 2234998.

It is an arithmetic number, because the mean of its divisors is an integer number (69224225616).

Almost surely, 22210235043120 is an apocalyptic number.

2210235043120 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 2210235043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768969024640).

2210235043120 is an abundant number, since it is smaller than the sum of its proper divisors (3327703006160).

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

2210235043120 is a wasteful number, since it uses less digits than its factorization.

2210235043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478342 (or 1478336 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 2210235043120 in words is "two trillion, two hundred ten billion, two hundred thirty-five million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1439 2878 5756 7195 11512 14390 18707 23024 28780 37414 57560 74828 93535 115120 149656 187070 299312 374140 748280 1476877 1496560 2953754 5907508 7384385 11815016 14768770 19199401 23630032 29537540 38398802 59075080 76797604 95997005 118150160 153595208 191994010 307190416 383988020 767976040 1535952080 2125226003 4250452006 8500904012 10626130015 17001808024 21252260030 27627938039 34003616048 42504520060 55255876078 85009040120 110511752156 138139690195 170018080240 221023504312 276279380390 442047008624 552558760780 1105117521560 2210235043120