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1225245312 = 2733418647
BaseRepresentation
bin100100100000111…
…1100001010000000
310011101111220121000
41021001330022000
510002130322222
6321325132000
742235261524
oct11101741200
93141456530
101225245312
11579689a35
122a23ba000
13166ac3235
14b8a21d84
15728759ac
hex4907c280

1225245312 has 128 divisors (see below), whose sum is σ = 3704803200. Its totient is φ = 398407680.

The previous prime is 1225245293. The next prime is 1225245313. The reversal of 1225245312 is 2135425221.

1225245312 is a `hidden beast` number, since 122 + 5 + 2 + 4 + 531 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1225245313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137373 + ... + 146019.

It is an arithmetic number, because the mean of its divisors is an integer number (28943775).

Almost surely, 21225245312 is an apocalyptic number.

1225245312 is a gapful number since it is divisible by the number (12) 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 1225245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852401600).

1225245312 is an abundant number, since it is smaller than the sum of its proper divisors (2479557888).

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

1225245312 is an equidigital number, since it uses as much as digits as its factorization.

1225245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8711 (or 8693 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 1225245312 is about 35003.5042817144. The cubic root of 1225245312 is about 1070.0588991364.

The spelling of 1225245312 in words is "one billion, two hundred twenty-five million, two hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 288 328 369 384 432 492 576 656 738 864 984 1107 1152 1312 1476 1728 1968 2214 2624 2952 3456 3936 4428 5248 5904 7872 8647 8856 11808 15744 17294 17712 23616 25941 34588 35424 47232 51882 69176 70848 77823 103764 138352 141696 155646 207528 233469 276704 311292 354527 415056 466938 553408 622584 709054 830112 933876 1063581 1106816 1245168 1418108 1660224 1867752 2127162 2490336 2836216 3190743 3320448 3735504 4254324 4980672 5672432 6381486 7471008 8508648 9572229 9961344 11344864 12762972 14942016 17017296 19144458 22689728 25525944 29884032 34034592 38288916 45379456 51051888 68069184 76577832 102103776 136138368 153155664 204207552 306311328 408415104 612622656 1225245312