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21973615225 = 5223212892
BaseRepresentation
bin10100011101101110…
…101100001001111001
32002201101020022100221
4110131232230021321
5330000221141400
614032230500041
71405345435102
oct243556541171
962641208327
1021973615225
119356595391
124312b04621
1320c25446b3
1410c64733a9
1588916ac1a
hex51dbac279

21973615225 has 27 divisors (see below), whose sum is σ = 28505568973. Its totient is φ = 16801547840.

The previous prime is 21973615187. The next prime is 21973615267. The reversal of 21973615225 is 52251637912.

It is a happy number.

The square root of 21973615225 is 148235.

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

It can be written as a sum of positive squares in 4 ways, for example, as 817330921 + 21156284304 = 28589^2 + 145452^2 .

It is not a de Polignac number, because 21973615225 - 29 = 21973614713 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, 17046381 + ... + 17047669.

Almost surely, 221973615225 is an apocalyptic number.

21973615225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21973615225 is the 148235-th square number.

21973615225 is the 74118-th centered octagonal number.

It is an amenable number.

21973615225 is a deficient number, since it is larger than the sum of its proper divisors (6531953748).

21973615225 is an frugal number, since it uses more digits than its factorization.

21973615225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 1317 counting only the distinct ones).

The product of its digits is 226800, while the sum is 43.

The spelling of 21973615225 in words is "twenty-one billion, nine hundred seventy-three million, six hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 1289 2645 6445 13225 29647 32225 148235 681881 741175 1661521 3409405 8307605 17047025 38214983 41538025 191074915 878944609 955374575 4394723045 21973615225