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22134000625 = 541125412
BaseRepresentation
bin10100100111010010…
…100000101111110001
32010010120000201202221
4110213102200233301
5330312301010000
614100200241041
71412333621032
oct244722405761
963116021687
1022134000625
119429080300
124358770181
13211983b6b9
1410dd8a2a89
1589829c61a
hex5274a0bf1

22134000625 has 45 divisors (see below), whose sum is σ = 30457952679. Its totient is φ = 16067700000.

The previous prime is 22134000611. The next prime is 22134000631. The reversal of 22134000625 is 52600043122.

The square root of 22134000625 is 148775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18806556769 + 3327443856 = 137137^2 + 57684^2 .

It is not a de Polignac number, because 22134000625 - 217 = 22133869553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 22134000625.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 40912855 + ... + 40913395.

Almost surely, 222134000625 is an apocalyptic number.

22134000625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22134000625 is the 148775-th square number.

22134000625 is the 74388-th centered octagonal number.

It is an amenable number.

22134000625 is a deficient number, since it is larger than the sum of its proper divisors (8323952054).

22134000625 is an frugal number, since it uses more digits than its factorization.

22134000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Multiplying 22134000625 by its sum of digits (25), we get a square (553350015625 = 7438752).

22134000625 divided by its sum of digits (25) gives a square (885360025 = 297552).

Adding to 22134000625 its reverse (52600043122), we get a palindrome (74734043747).

The spelling of 22134000625 in words is "twenty-two billion, one hundred thirty-four million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 11 25 55 121 125 275 541 605 625 1375 2705 3025 5951 6875 13525 15125 29755 65461 67625 75625 148775 292681 327305 338125 743875 1463405 1636525 3219491 3719375 7317025 8182625 16097455 35414401 36585125 40913125 80487275 177072005 182925625 402436375 885360025 2012181875 4426800125 22134000625