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22098309025 = 5213222872
BaseRepresentation
bin10100100101001010…
…010110111110100001
32010001001212102002211
4110211022112332201
5330224131342100
614052443242121
71411421345632
oct244512267641
963031772084
1022098309025
11940aa12711
124348819341
132112322c00
1410d8c51889
1589509c1ba
hex525296fa1

22098309025 has 27 divisors (see below), whose sum is σ = 29684863161. Its totient is φ = 16311615840.

The previous prime is 22098309017. The next prime is 22098309029. The reversal of 22098309025 is 52090389022.

The square root of 22098309025 is 148655.

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 5695871841 + 16402437184 = 75471^2 + 128072^2 .

It is not a de Polignac number, because 22098309025 - 23 = 22098309017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22098309029) 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 26 ways as a sum of consecutive naturals, for example, 9661432 + ... + 9663718.

Almost surely, 222098309025 is an apocalyptic number.

22098309025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22098309025 is the 148655-th square number.

22098309025 is the 74328-th centered octagonal number.

It is an amenable number.

22098309025 is a deficient number, since it is larger than the sum of its proper divisors (7586554136).

22098309025 is an frugal number, since it uses more digits than its factorization.

22098309025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 22098309025 in words is "twenty-two billion, ninety-eight million, three hundred nine thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 2287 4225 11435 29731 57175 148655 386503 743275 1932515 5230369 9662575 26151845 67994797 130759225 339973985 883932361 1699869925 4419661805 22098309025