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2330211024 = 243310352369
BaseRepresentation
bin1000101011100100…
…0011001011010000
320000101200222121000
42022321003023100
514233013223044
61023120302000
7111513316101
oct21271031320
96011628530
102330211024
11a96386039
12550471900
132b19c21bb
141816943a8
15d988cd69
hex8ae432d0

2330211024 has 80 divisors (see below), whose sum is σ = 6753635200. Its totient is φ = 769181184.

The previous prime is 2330211019. The next prime is 2330211031. The reversal of 2330211024 is 4201120332.

It is a super-2 number, since 2×23302110242 = 10859766832742257152, which contains 22 as substring.

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 = 2330210988 and 2330211006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18312 + ... + 70680.

It is an arithmetic number, because the mean of its divisors is an integer number (84420440).

Almost surely, 22330211024 is an apocalyptic number.

2330211024 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 2330211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376817600).

2330211024 is an abundant number, since it is smaller than the sum of its proper divisors (4423424176).

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

2330211024 is a wasteful number, since it uses less digits than its factorization.

2330211024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52489 (or 52477 counting only the distinct ones).

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

The square root of 2330211024 is about 48272.2593629095. The cubic root of 2330211024 is about 1325.7605267671.

Adding to 2330211024 its reverse (4201120332), we get a palindrome (6531331356).

The spelling of 2330211024 in words is "two billion, three hundred thirty million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1648 1854 2472 2781 3708 4944 5562 7416 11124 14832 22248 44496 52369 104738 157107 209476 314214 418952 471321 628428 837904 942642 1256856 1413963 1885284 2513712 2827926 3770568 5394007 5655852 7541136 10788014 11311704 16182021 21576028 22623408 32364042 43152056 48546063 64728084 86304112 97092126 129456168 145638189 194184252 258912336 291276378 388368504 582552756 776737008 1165105512 2330211024