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25300223300 = 225211196471871
BaseRepresentation
bin10111100100000000…
…101100010101000100
32102022012211111202102
4113210000230111010
5403303324121200
615342303331232
71553651230652
oct274400542504
972265744672
1025300223300
11a803353260
124aa0bb0b18
1325027b1b41
1413201b7dd2
159d12276d5
hex5e402c544

25300223300 has 144 divisors (see below), whose sum is σ = 63175956480. Its totient is φ = 8697744000.

The previous prime is 25300223279. The next prime is 25300223363. The reversal of 25300223300 is 332200352.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13521365 + ... + 13523235.

It is an arithmetic number, because the mean of its divisors is an integer number (438721920).

Almost surely, 225300223300 is an apocalyptic number.

25300223300 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 25300223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31587978240).

25300223300 is an abundant number, since it is smaller than the sum of its proper divisors (37875733180).

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

25300223300 is a wasteful number, since it uses less digits than its factorization.

25300223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

Adding to 25300223300 its reverse (332200352), we get a palindrome (25632423652).

The spelling of 25300223300 in words is "twenty-five billion, three hundred million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 647 836 950 1045 1100 1294 1871 1900 2090 2588 3235 3742 4180 5225 6470 7117 7484 9355 10450 12293 12940 14234 16175 18710 20581 20900 24586 28468 32350 35549 35585 37420 41162 46775 49172 61465 64700 71098 71170 82324 93550 102905 122930 135223 142196 142340 177745 177925 187100 205810 245860 270446 307325 355490 355850 391039 411620 514525 540892 614650 676115 710980 711700 782078 888725 1029050 1210537 1229300 1352230 1564156 1777450 1955195 2058100 2421074 2704460 3380575 3554900 3910390 4842148 6052685 6761150 7820780 9775975 12105370 13315907 13522300 19551950 23000203 24210740 26631814 30263425 39103900 46000406 53263628 60526850 66579535 92000812 115001015 121053700 133159070 230002030 253002233 266318140 332897675 460004060 506004466 575005075 665795350 1012008932 1150010150 1265011165 1331590700 2300020300 2530022330 5060044660 6325055825 12650111650 25300223300