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25213232240 = 2457213946273
BaseRepresentation
bin10111011110110100…
…110110010001110000
32102002011010220110022
4113132310312101300
5403114041412430
615325515023012
71551543636500
oct273664662160
972064126408
1025213232240
11a769237619
124a77a3aa68
1324ba774641
141312811a00
159c87924e5
hex5ded36470

25213232240 has 120 divisors (see below), whose sum is σ = 68683572720. Its totient is φ = 8582160384.

The previous prime is 25213232179. The next prime is 25213232243. The reversal of 25213232240 is 4223231252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25213232243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521744 + ... + 568016.

It is an arithmetic number, because the mean of its divisors is an integer number (572363106).

Almost surely, 225213232240 is an apocalyptic number.

25213232240 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 25213232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34341786360).

25213232240 is an abundant number, since it is smaller than the sum of its proper divisors (43470340480).

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

25213232240 is a wasteful number, since it uses less digits than its factorization.

25213232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46439 (or 46426 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 25213232240 its reverse (4223231252), we get a palindrome (29436463492).

The spelling of 25213232240 in words is "twenty-five billion, two hundred thirteen million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 139 140 196 245 278 280 392 490 556 560 695 784 973 980 1112 1390 1946 1960 2224 2780 3892 3920 4865 5560 6811 7784 9730 11120 13622 15568 19460 27244 34055 38920 46273 54488 68110 77840 92546 108976 136220 185092 231365 272440 323911 370184 462730 544880 647822 740368 925460 1295644 1619555 1850920 2267377 2591288 3239110 3701840 4534754 5182576 6431947 6478220 9069508 11336885 12863894 12956440 18139016 22673770 25727788 25912880 32159735 36278032 45023629 45347540 51455576 64319470 90047258 90695080 102911152 128638940 180094516 181390160 225118145 257277880 315165403 360189032 450236290 514555760 630330806 720378064 900472580 1260661612 1575827015 1800945160 2521323224 3151654030 3601890320 5042646448 6303308060 12606616120 25213232240