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2253122340 = 2235715135527
BaseRepresentation
bin1000011001001011…
…1110101100100100
312211000122110210120
42012102332230210
514103244403330
61011324121540
7106556136540
oct20622765444
95730573716
102253122340
11a56913187
1252a6962b0
1329ba40cb1
14175348a20
15d2c11c10
hex864beb24

2253122340 has 96 divisors (see below), whose sum is σ = 7257944064. Its totient is φ = 511574400.

The previous prime is 2253122269. The next prime is 2253122357. The reversal of 2253122340 is 432213522.

It is a self number, because there is not a number n which added to its sum of digits gives 2253122340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45657 + ... + 81183.

It is an arithmetic number, because the mean of its divisors is an integer number (75603584).

Almost surely, 22253122340 is an apocalyptic number.

2253122340 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 2253122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628972032).

2253122340 is an abundant number, since it is smaller than the sum of its proper divisors (5004821724).

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

2253122340 is a wasteful number, since it uses less digits than its factorization.

2253122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35697 (or 35695 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2253122340 is about 47467.0658456998. The cubic root of 2253122340 is about 1310.9765536578.

Adding to 2253122340 its reverse (432213522), we get a palindrome (2685335862).

The spelling of 2253122340 in words is "two billion, two hundred fifty-three million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 420 453 604 755 906 1057 1510 1812 2114 2265 3020 3171 4228 4530 5285 6342 9060 10570 12684 15855 21140 31710 35527 63420 71054 106581 142108 177635 213162 248689 355270 426324 497378 532905 710540 746067 994756 1065810 1243445 1492134 2131620 2486890 2984268 3730335 4973780 5364577 7460670 10729154 14921340 16093731 21458308 26822885 32187462 37552039 53645770 64374924 75104078 80468655 107291540 112656117 150208156 160937310 187760195 225312234 321874620 375520390 450624468 563280585 751040780 1126561170 2253122340