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22769301025 = 5210322932
BaseRepresentation
bin10101001101001001…
…111111011000100001
32011202211110100002101
4111031021333120201
5333112420113100
614243213050401
71434146602552
oct251511773041
964684410071
1022769301025
119724749959
1244b5486a01
1321bb3469b3
14115ddd8329
158d3e3e86a
hex54d27f621

22769301025 has 27 divisors (see below), whose sum is σ = 28608348729. Its totient is φ = 17977026720.

The previous prime is 22769301013. The next prime is 22769301041. The reversal of 22769301025 is 52010396722.

The square root of 22769301025 is 150895.

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 3605882401 + 19163418624 = 60049^2 + 138432^2 .

It is not a de Polignac number, because 22769301025 - 233 = 14179366433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77710779 + ... + 77711071.

Almost surely, 222769301025 is an apocalyptic number.

22769301025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22769301025 is the 150895-th square number.

22769301025 is the 75448-th centered octagonal number.

It is an amenable number.

22769301025 is a deficient number, since it is larger than the sum of its proper divisors (5839047704).

22769301025 is an frugal number, since it uses more digits than its factorization.

22769301025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

Adding to 22769301025 its reverse (52010396722), we get a palindrome (74779697747).

The spelling of 22769301025 in words is "twenty-two billion, seven hundred sixty-nine million, three hundred one thousand, twenty-five".

Divisors: 1 5 25 103 293 515 1465 2575 7325 10609 30179 53045 85849 150895 265225 429245 754475 2146225 3108437 8842447 15542185 44212235 77710925 221061175 910772041 4553860205 22769301025