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10462221225 = 345222732
BaseRepresentation
bin10011011111001100…
…01101001110101001
31000000010111220110000
421233212031032221
5132411312034400
64450053413213
7520156261461
oct115746151651
930003456400
1010462221225
114489718725
12203b93a209
13ca96a5a61
147136c2ba1
15413762600
hex26f98d3a9

10462221225 has 45 divisors (see below), whose sum is σ = 19388180053. Its totient is φ = 5577396480.

The previous prime is 10462221223. The next prime is 10462221241. The reversal of 10462221225 is 52212226401.

The square root of 10462221225 is 102285.

It is a perfect power (a square), and thus also a powerful number.

10462221225 is a `hidden beast` number, since 1 + 0 + 4 + 622 + 2 + 12 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 951290649 + 9510930576 = 30843^2 + 97524^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 10462221225 - 21 = 10462221223 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10462221223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4601689 + ... + 4603961.

Almost surely, 210462221225 is an apocalyptic number.

10462221225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10462221225 is the 102285-th square number.

10462221225 is the 51143-rd centered octagonal number.

It is an amenable number.

10462221225 is a deficient number, since it is larger than the sum of its proper divisors (8925958828).

10462221225 is an frugal number, since it uses more digits than its factorization.

10462221225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10462221225 its reverse (52212226401), we get a palindrome (62674447626).

The spelling of 10462221225 in words is "ten billion, four hundred sixty-two million, two hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2273 6819 11365 20457 34095 56825 61371 102285 170475 184113 306855 511425 920565 1534275 4602825 5166529 15499587 25832645 46498761 77497935 129163225 139496283 232493805 387489675 418488849 697481415 1162469025 2092444245 3487407075 10462221225