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1225866096 = 243371331183
BaseRepresentation
bin100100100010001…
…0011101101110000
310011102200110011000
41021010103231300
510002310203341
6321350322000
742243455430
oct11104235560
93142613130
101225866096
11579a73384
122a2659300
13166c7c970
14b8b442c0
15729498b6
hex49113b70

1225866096 has 160 divisors (see below), whose sum is σ = 4330833920. Its totient is φ = 323294976.

The previous prime is 1225866091. The next prime is 1225866101. The reversal of 1225866096 is 6906685221.

1225866096 is a `hidden beast` number, since 1 + 2 + 2 + 586 + 60 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1225866091) and next prime (1225866101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225866091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23721 + ... + 54903.

It is an arithmetic number, because the mean of its divisors is an integer number (27067712).

Almost surely, 21225866096 is an apocalyptic number.

1225866096 is a gapful number since it is divisible by the number (16) 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 1225866096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165416960).

1225866096 is an abundant number, since it is smaller than the sum of its proper divisors (3104967824).

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

1225866096 is a wasteful number, since it uses less digits than its factorization.

1225866096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31220 (or 31208 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1225866096 is about 35012.3706138273. The cubic root of 1225866096 is about 1070.2395876569.

The spelling of 1225866096 in words is "one billion, two hundred twenty-five million, eight hundred sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 31183 39312 62366 93549 124732 187098 218281 249464 280647 374196 405379 436562 498928 561294 654843 748392 810758 841941 873124 1122588 1216137 1309686 1496784 1621516 1683882 1746248 1964529 2245176 2432274 2619372 2837653 3243032 3367764 3492496 3648411 3929058 4490352 4864548 5238744 5675306 5893587 6486064 6735528 7296822 7858116 8512959 9729096 10477488 10945233 11350612 11787174 13471056 14593644 15716232 17025918 19458192 21890466 22701224 23574348 25538877 29187288 31432464 34051836 43780932 45402448 47148696 51077754 58374576 68103672 76616631 87561864 94297392 102155508 136207344 153233262 175123728 204311016 306466524 408622032 612933048 1225866096