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21194992225 = 5211226472
BaseRepresentation
bin10011101111010100…
…011110101001100001
32000201010010011102001
4103233110132221201
5321401404222400
613423054124001
71350142314151
oct235724365141
960633104361
1021194992225
118a97025400
1241361b0601
131cca137924
141050cb0761
15840b17a6a
hex4ef51ea61

21194992225 has 27 divisors (see below), whose sum is σ = 28899166611. Its totient is φ = 15408716400.

The previous prime is 21194992219. The next prime is 21194992241. The reversal of 21194992225 is 52229949112.

It is a happy number.

The square root of 21194992225 is 145585.

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

It can be written as a sum of positive squares in only one way, i.e., 7630197201 + 13564795024 = 87351^2 + 116468^2 .

It is not a de Polignac number, because 21194992225 - 213 = 21194984033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 8005852 + ... + 8008498.

Almost surely, 221194992225 is an apocalyptic number.

21194992225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21194992225 is the 145585-th square number.

21194992225 is the 72793-rd centered octagonal number.

It is an amenable number.

21194992225 is a deficient number, since it is larger than the sum of its proper divisors (7704174386).

21194992225 is an frugal number, since it uses more digits than its factorization.

21194992225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 2663 counting only the distinct ones).

The product of its digits is 233280, while the sum is 46.

It can be divided in two parts, 211 and 94992225, that added together give a triangular number (94992436 = T13783).

The spelling of 21194992225 in words is "twenty-one billion, one hundred ninety-four million, nine hundred ninety-two thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 2647 3025 13235 29117 66175 145585 320287 727925 1601435 7006609 8007175 35033045 77072699 175165225 385363495 847799689 1926817475 4238998445 21194992225