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2134122240 = 2835555761
BaseRepresentation
bin111111100110100…
…0001111100000000
312111201201122100110
41333031001330000
513332313402430
6551433351320
7103612511505
oct17715017400
95451648313
102134122240
119a5724698
124b6868540
132801a7233
1416360d4ac
15c75577b0
hex7f341f00

2134122240 has 72 divisors (see below), whose sum is σ = 6815865168. Its totient is φ = 569098240.

The previous prime is 2134122233. The next prime is 2134122241. The reversal of 2134122240 is 422214312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134122241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274041 + ... + 281720.

It is an arithmetic number, because the mean of its divisors is an integer number (94664794).

Almost surely, 22134122240 is an apocalyptic number.

2134122240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134122240 is an abundant number, since it is smaller than the sum of its proper divisors (4681742928).

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

2134122240 is an equidigital number, since it uses as much as digits as its factorization.

2134122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555785 (or 555771 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2134122240 is about 46196.5609109596. The cubic root of 2134122240 is about 1287.4778434620.

Adding to 2134122240 its reverse (422214312), we get a palindrome (2556336552).

The spelling of 2134122240 in words is "two billion, one hundred thirty-four million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 555761 1111522 1667283 2223044 2778805 3334566 4446088 5557610 6669132 8336415 8892176 11115220 13338264 16672830 17784352 22230440 26676528 33345660 35568704 44460880 53353056 66691320 71137408 88921760 106706112 133382640 142274816 177843520 213412224 266765280 355687040 426824448 533530560 711374080 1067061120 2134122240