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2244010320 = 2432521114771
BaseRepresentation
bin1000010111000000…
…1110000101010000
312210101111112110100
42011300032011100
514043431312240
61010400532400
7106415526066
oct20560160520
95711445410
102244010320
11a5175a192
12527621100
13299ba0676
14174056036
15d2011e30
hex85c0e150

2244010320 has 120 divisors (see below), whose sum is σ = 7572363552. Its totient is φ = 595526400.

The previous prime is 2244010303. The next prime is 2244010331. The reversal of 2244010320 is 230104422.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2244010293 and 2244010302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144535 + ... + 159305.

Almost surely, 22244010320 is an apocalyptic number.

2244010320 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 2244010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786181776).

2244010320 is an abundant number, since it is smaller than the sum of its proper divisors (5328353232).

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

2244010320 is a wasteful number, since it uses less digits than its factorization.

2244010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15001 (or 14992 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2244010320 is about 47370.9860568682. The cubic root of 2244010320 is about 1309.2068932379.

Adding to 2244010320 its reverse (230104422), we get a palindrome (2474114742).

The spelling of 2244010320 in words is "two billion, two hundred forty-four million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 211 240 360 422 633 720 844 1055 1266 1688 1899 2110 2532 3165 3376 3798 4220 5064 6330 7596 8440 9495 10128 12660 14771 15192 16880 18990 25320 29542 30384 37980 44313 50640 59084 73855 75960 88626 118168 132939 147710 151920 177252 221565 236336 265878 295420 354504 443130 531756 590840 664695 709008 886260 1063512 1181680 1329390 1772520 2127024 2658780 3116681 3545040 5317560 6233362 9350043 10635120 12466724 15583405 18700086 24933448 28050129 31166810 37400172 46750215 49866896 56100258 62333620 74800344 93500430 112200516 124667240 140250645 149600688 187000860 224401032 249334480 280501290 374001720 448802064 561002580 748003440 1122005160 2244010320