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20610909225 = 32521725632
BaseRepresentation
bin10011001100100000…
…011000010000101001
31222012102001200011100
4103030200120100221
5314202343043400
613245111152013
71326520560234
oct231440302051
958172050140
1020610909225
118817359185
123bb2675609
131c36122b9a
14dd74ac41b
158096e1100
hex4cc818429

20610909225 has 81 divisors (see below), whose sum is σ = 39285500293. Its totient is φ = 10327491840.

The previous prime is 20610909199. The next prime is 20610909227. The reversal of 20610909225 is 52290901602.

It is a happy number.

The square root of 20610909225 is 143565.

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 482109849 + 20128799376 = 21957^2 + 141876^2 .

It is not a de Polignac number, because 20610909225 - 215 = 20610876457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20610909225.

It is not an unprimeable number, because it can be changed into a prime (20610909227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36608794 + ... + 36609356.

Almost surely, 220610909225 is an apocalyptic number.

20610909225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20610909225 is the 143565-th square number.

20610909225 is the 71783-rd centered octagonal number.

It is an amenable number.

20610909225 is a deficient number, since it is larger than the sum of its proper divisors (18674591068).

20610909225 is an equidigital number, since it uses as much as digits as its factorization.

20610909225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 20610909225 by its sum of digits (36), we get a square (741992732100 = 8613902).

The spelling of 20610909225 in words is "twenty billion, six hundred ten million, nine hundred nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 289 425 563 765 867 1275 1445 1689 2601 2815 3825 4335 5067 7225 8445 9571 13005 14075 21675 25335 28713 42225 47855 65025 86139 126675 143565 162707 239275 316969 430695 488121 717825 813535 950907 1464363 1584845 2153475 2440605 2852721 4067675 4754535 5388473 7321815 7924225 12203025 14263605 16165419 23772675 26942365 36609075 48496257 71318025 80827095 91604041 134711825 242481285 274812123 404135475 458020205 824436369 1212406425 1374060615 2290101025 4122181845 6870303075 20610909225