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2233114240 = 2757271209
BaseRepresentation
bin1000010100011010…
…1001111010000000
312202121222221211211
42011012221322000
514033134123430
61005331215504
7106224105100
oct20506517200
95677887754
102233114240
11a46597865
12523a47594
13297856c96
1417281b200
15d10ad72a
hex851a9e80

2233114240 has 96 divisors (see below), whose sum is σ = 6210224100. Its totient is φ = 765628416.

The previous prime is 2233114217. The next prime is 2233114259. The reversal of 2233114240 is 424113322.

It can be written as a sum of positive squares in 2 ways, for example, as 1864166976 + 368947264 = 43176^2 + 19208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4245 + ... + 66964.

Almost surely, 22233114240 is an apocalyptic number.

2233114240 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 2233114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105112050).

2233114240 is an abundant number, since it is smaller than the sum of its proper divisors (3977109860).

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

2233114240 is an equidigital number, since it uses as much as digits as its factorization.

2233114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71242 (or 71223 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2233114240 is about 47255.8381578403. The cubic root of 2233114240 is about 1307.0844469078.

Adding to 2233114240 its reverse (424113322), we get a palindrome (2657227562).

The spelling of 2233114240 in words is "two billion, two hundred thirty-three million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 71209 142418 284836 356045 498463 569672 712090 996926 1139344 1424180 1993852 2278688 2492315 2848360 3489241 3987704 4557376 4984630 5696720 6978482 7975408 9114752 9969260 11393440 13956964 15950816 17446205 19938520 22786880 27913928 31901632 34892410 39877040 45573760 55827856 63803264 69784820 79754080 111655712 139569640 159508160 223311424 279139280 319016320 446622848 558278560 1116557120 2233114240