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225101231040 = 2635733497207
BaseRepresentation
bin1101000110100100010…
…1000011001111000000
3210112000200200100012010
43101221011003033000
512142001403343130
6251224324332520
722156134615420
oct3215105031700
9715020610163
10225101231040
118751285a644
1237761b44140
13182c480a5ca
14ac75a9a480
155cc6e910b0
hex34691433c0

225101231040 has 112 divisors (see below), whose sum is σ = 816795919872. Its totient is φ = 51451708416.

The previous prime is 225101231027. The next prime is 225101231057. The reversal of 225101231040 is 40132101522.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 225101230998 and 225101231016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16741884 + ... + 16755323.

Almost surely, 2225101231040 is an apocalyptic number.

225101231040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225101231040 is an abundant number, since it is smaller than the sum of its proper divisors (591694688832).

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

225101231040 is a wasteful number, since it uses less digits than its factorization.

225101231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33497234 (or 33497224 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 225101231040 its reverse (40132101522), we get a palindrome (265233332562).

The spelling of 225101231040 in words is "two hundred twenty-five billion, one hundred one million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 33497207 66994414 100491621 133988828 167486035 200983242 234480449 267977656 334972070 401966484 468960898 502458105 535955312 669944140 703441347 803932968 937921796 1004916210 1071910624 1172402245 1339888280 1406882694 1607865936 1875843592 2009832420 2143821248 2344804490 2679776560 2813765388 3215731872 3517206735 3751687184 4019664840 4689608980 5359553120 5627530776 6431463744 7034413470 7503374368 8039329680 9379217960 10719106240 11255061552 14068826940 15006748736 16078659360 18758435920 22510123104 28137653880 32157318720 37516871840 45020246208 56275307760 75033743680 112550615520 225101231040