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2201118240 = 25351032112
BaseRepresentation
bin1000001100110010…
…0110011000100000
312200101210101120210
42003030212120200
514001441240430
61002225334120
7105355124226
oct20314463040
95611711523
102201118240
11a2a523792
12515197340
13291033639
1416c48cb16
15cd38d2b0
hex83326620

2201118240 has 144 divisors (see below), whose sum is σ = 7034174784. Its totient is φ = 578511360.

The previous prime is 2201118229. The next prime is 2201118247. The reversal of 2201118240 is 428111022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201118247) by changing a digit.

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, 10431735 + ... + 10431945.

It is an arithmetic number, because the mean of its divisors is an integer number (48848436).

Almost surely, 22201118240 is an apocalyptic number.

2201118240 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 2201118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517087392).

2201118240 is an abundant number, since it is smaller than the sum of its proper divisors (4833056544).

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

2201118240 is a wasteful number, since it uses less digits than its factorization.

2201118240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2201118240 is about 46916.0765623043. The cubic root of 2201118240 is about 1300.8117691293.

Adding to 2201118240 its reverse (428111022), we get a palindrome (2629229262).

The spelling of 2201118240 in words is "two billion, two hundred one million, one hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 211 240 309 412 422 480 515 618 633 824 844 1030 1055 1236 1266 1545 1648 1688 2060 2110 2472 2532 3090 3165 3296 3376 4120 4220 4944 5064 6180 6330 6752 8240 8440 9888 10128 12360 12660 16480 16880 20256 21733 24720 25320 33760 43466 44521 49440 50640 65199 86932 89042 101280 108665 130398 133563 173864 178084 217330 222605 260796 267126 325995 347728 356168 434660 445210 521592 534252 651990 667815 695456 712336 869320 890420 1043184 1068504 1303980 1335630 1424672 1738640 1780840 2086368 2137008 2607960 2671260 3477280 3561680 4274016 4585663 5215920 5342520 7123360 9171326 10431840 10685040 13756989 18342652 21370080 22928315 27513978 36685304 45856630 55027956 68784945 73370608 91713260 110055912 137569890 146741216 183426520 220111824 275139780 366853040 440223648 550279560 733706080 1100559120 2201118240