Search a number
-
+
2110023324 = 2233792231109
BaseRepresentation
bin111110111000100…
…0110011010011100
312110001101021212000
41331301012122130
513310131221244
6545213042300
7103200621333
oct17561063234
95401337760
102110023324
11993064832
124aa786390
132781ba216
14160338d1a
15c5397169
hex7dc4669c

2110023324 has 96 divisors (see below), whose sum is σ = 5569536000. Its totient is φ = 690700608.

The previous prime is 2110023301. The next prime is 2110023341. The reversal of 2110023324 is 4233200112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2110023297 and 2110023306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1902082 + ... + 1903190.

It is an arithmetic number, because the mean of its divisors is an integer number (58016000).

Almost surely, 22110023324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110023324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784768000).

2110023324 is an abundant number, since it is smaller than the sum of its proper divisors (3459512676).

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

2110023324 is a wasteful number, since it uses less digits than its factorization.

2110023324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2110023324 is about 45934.9901926625. The cubic root of 2110023324 is about 1282.6133383644.

Adding to 2110023324 its reverse (4233200112), we get a palindrome (6343223436).

The spelling of 2110023324 in words is "two billion, one hundred ten million, twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 223 237 316 446 474 669 711 892 948 1109 1338 1422 2007 2133 2218 2676 2844 3327 4014 4266 4436 6021 6654 8028 8532 9981 12042 13308 17617 19962 24084 29943 35234 39924 52851 59886 70468 87611 105702 119772 158553 175222 211404 247307 262833 317106 350444 475659 494614 525666 634212 741921 788499 951318 989228 1051332 1483842 1576998 1902636 2225763 2365497 2967684 3153996 4451526 4730994 6677289 8903052 9461988 13354578 19537253 26709156 39074506 58611759 78149012 117223518 175835277 234447036 351670554 527505831 703341108 1055011662 2110023324