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2231375400 = 2332521319463
BaseRepresentation
bin1000010100000000…
…0001011000101000
312202111201121121100
42011000001120220
514032213003100
61005230041400
7106203243432
oct20500013050
95674647540
102231375400
11a4560a401
12523349260
13297398697
141724c7652
15d0d68400
hex85001628

2231375400 has 144 divisors (see below), whose sum is σ = 7551704160. Its totient is φ = 590428800.

The previous prime is 2231375357. The next prime is 2231375401. The reversal of 2231375400 is 45731322.

2231375400 is a `hidden beast` number, since 223 + 1 + 37 + 5 + 400 = 666.

It is a super-3 number, since 3×22313754003 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231375401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231069 + ... + 240531.

It is an arithmetic number, because the mean of its divisors is an integer number (52442390).

Almost surely, 22231375400 is an apocalyptic number.

2231375400 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 2231375400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775852080).

2231375400 is an abundant number, since it is smaller than the sum of its proper divisors (5320328760).

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

2231375400 is a wasteful number, since it uses less digits than its factorization.

2231375400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9616 (or 9604 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2231375400 is about 47237.4364249374. The cubic root of 2231375400 is about 1306.7451000515.

The spelling of 2231375400 in words is "two billion, two hundred thirty-one million, three hundred seventy-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 131 150 180 200 225 262 300 360 393 450 524 600 655 786 900 1048 1179 1310 1572 1800 1965 2358 2620 3144 3275 3930 4716 5240 5895 6550 7860 9432 9463 9825 11790 13100 15720 18926 19650 23580 26200 28389 29475 37852 39300 47160 47315 56778 58950 75704 78600 85167 94630 113556 117900 141945 170334 189260 227112 235800 236575 283890 340668 378520 425835 473150 567780 681336 709725 851670 946300 1135560 1239653 1419450 1703340 1892600 2129175 2479306 2838900 3406680 3718959 4258350 4958612 5677800 6198265 7437918 8516700 9917224 11156877 12396530 14875836 17033400 18594795 22313754 24793060 29751672 30991325 37189590 44627508 49586120 55784385 61982650 74379180 89255016 92973975 111568770 123965300 148758360 185947950 223137540 247930600 278921925 371895900 446275080 557843850 743791800 1115687700 2231375400