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1225868160 = 27351158043
BaseRepresentation
bin100100100010001…
…0100001110000000
310011102200112222110
41021010110032000
510002310240120
6321350335320
742243464436
oct11104241600
93142615873
101225868160
11579a74990
122a265a540
13166c8089a
14b8b44d56
157294a2e0
hex49114380

1225868160 has 128 divisors (see below), whose sum is σ = 4262751360. Its totient is φ = 297175040.

The previous prime is 1225868159. The next prime is 1225868177. The reversal of 1225868160 is 618685221.

It is a tau number, because it is divible by the number of its divisors (128).

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, 7902 + ... + 50141.

It is an arithmetic number, because the mean of its divisors is an integer number (33302745).

Almost surely, 21225868160 is an apocalyptic number.

1225868160 is a gapful number since it is divisible by the number (10) 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 1225868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131375680).

1225868160 is an abundant number, since it is smaller than the sum of its proper divisors (3036883200).

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

1225868160 is a wasteful number, since it uses less digits than its factorization.

1225868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58076 (or 58064 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1225868160 is about 35012.4000891113. The cubic root of 1225868160 is about 1070.2401883134.

The spelling of 1225868160 in words is "one billion, two hundred twenty-five million, eight hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 58043 116086 174129 232172 290215 348258 464344 580430 638473 696516 870645 928688 1160860 1276946 1393032 1741290 1857376 1915419 2321720 2553892 2786064 3192365 3482580 3714752 3830838 4643440 5107784 5572128 6384730 6965160 7429504 7661676 9286880 9577095 10215568 11144256 12769460 13930320 15323352 18573760 19154190 20431136 22288512 25538920 27860640 30646704 37147520 38308380 40862272 51077840 55721280 61293408 76616760 81724544 102155680 111442560 122586816 153233520 204311360 245173632 306467040 408622720 612934080 1225868160