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20151222025 = 52112292892
BaseRepresentation
bin10010110001000110…
…110011111100001001
31221000101002010212111
4102301012303330021
5312232203101100
613131330342321
71312236363304
oct226106637411
957011063774
1020151222025
118600926400
123aa472a9a1
131b91b13b1c
14d9240bb3b
157ce18c6ba
hex4b11b3f09

20151222025 has 81 divisors (see below), whose sum is σ = 28768566463. Its totient is φ = 13991084800.

The previous prime is 20151222023. The next prime is 20151222037. The reversal of 20151222025 is 52022215102.

The square root of 20151222025 is 141955.

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

It can be written as a sum of positive squares in 13 ways, for example, as 17959484169 + 2191737856 = 134013^2 + 46816^2 .

It is not a de Polignac number, because 20151222025 - 21 = 20151222023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20151221987 and 20151222005.

It is not an unprimeable number, because it can be changed into a prime (20151222023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 226418181 + ... + 226418269.

Almost surely, 220151222025 is an apocalyptic number.

20151222025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20151222025 is the 141955-th square number.

20151222025 is the 70978-th centered octagonal number.

It is an amenable number.

20151222025 is a deficient number, since it is larger than the sum of its proper divisors (8617344438).

20151222025 is an equidigital number, since it uses as much as digits as its factorization.

20151222025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 20151222025 its reverse (52022215102), we get a palindrome (72173437127).

The spelling of 20151222025 in words is "twenty billion, one hundred fifty-one million, two hundred twenty-two thousand, twenty-five".

Divisors: 1 5 11 25 29 55 89 121 145 275 319 445 605 725 841 979 1595 2225 2581 3025 3509 4205 4895 7921 7975 9251 10769 12905 17545 21025 24475 28391 39605 46255 53845 64525 74849 87131 87725 101761 141955 198025 229709 231275 269225 312301 374245 435655 508805 709775 823339 958441 1148545 1561505 1871225 2178275 2526799 2544025 4116695 4792205 5742725 6661561 7807525 9056729 12633995 20583475 23961025 27794789 33307805 45283645 63169975 73277171 138973945 166539025 226418225 366385855 694869725 806048881 1831929275 4030244405 20151222025