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1225525056 = 26375471667
BaseRepresentation
bin100100100001100…
…0000011101000000
310011102001010022220
41021003000131000
510002213300211
6321335131040
742240535230
oct11103003500
93142033286
101225525056
11579860128
122a2513a80
13166b90672
14b8a95cc0
15728cd806
hex490c0740

1225525056 has 112 divisors (see below), whose sum is σ = 3714756096. Its totient is φ = 349300224.

The previous prime is 1225525039. The next prime is 1225525097. The reversal of 1225525056 is 6505255221.

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

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, 734335 + ... + 736001.

Almost surely, 21225525056 is an apocalyptic number.

1225525056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 35007×35008.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225525056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857378048).

1225525056 is an abundant number, since it is smaller than the sum of its proper divisors (2489231040).

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

1225525056 is a wasteful number, since it uses less digits than its factorization.

1225525056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 1225525056 is about 35007.4999964293. The cubic root of 1225525056 is about 1070.1403303881.

The spelling of 1225525056 in words is "one billion, two hundred twenty-five million, five hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 547 672 1094 1344 1641 1667 2188 3282 3334 3829 4376 5001 6564 6668 7658 8752 10002 11487 11669 13128 13336 15316 17504 20004 22974 23338 26256 26672 30632 35007 35008 40008 45948 46676 52512 53344 61264 70014 80016 91896 93352 105024 106688 122528 140028 160032 183792 186704 245056 280056 320064 367584 373408 560112 735168 746816 911849 1120224 1823698 2240448 2735547 3647396 5471094 6382943 7294792 10942188 12765886 14589584 19148829 21884376 25531772 29179168 38297658 43768752 51063544 58358336 76595316 87537504 102127088 153190632 175075008 204254176 306381264 408508352 612762528 1225525056