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22492500625 = 54728572
BaseRepresentation
bin10100111100101010…
…000101001010010001
32011001112121102022201
4110330222011022101
5332031040010000
614155524203201
71424246046400
oct247452051221
964045542281
1022492500625
1195a24806a1
124438839501
132175bac78a
141135343637
158b99b496a
hex53ca85291

22492500625 has 45 divisors (see below), whose sum is σ = 32733661719. Its totient is φ = 15405432000.

The previous prime is 22492500571. The next prime is 22492500629. The reversal of 22492500625 is 52600529422.

The square root of 22492500625 is 149975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6304518801 + 16187981824 = 79401^2 + 127232^2 .

It is not a de Polignac number, because 22492500625 - 27 = 22492500497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22492500629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26245197 + ... + 26246053.

Almost surely, 222492500625 is an apocalyptic number.

22492500625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22492500625 is the 149975-th square number.

22492500625 is the 74988-th centered octagonal number.

It is an amenable number.

22492500625 is a deficient number, since it is larger than the sum of its proper divisors (10241161094).

22492500625 is an frugal number, since it uses more digits than its factorization.

22492500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 22492500625 in words is "twenty-two billion, four hundred ninety-two million, five hundred thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 857 875 1225 4285 4375 5999 6125 21425 29995 30625 41993 107125 149975 209965 535625 734449 749875 1049825 3672245 3749375 5141143 5249125 18361225 25705715 26245625 35988001 91806125 128528575 179940005 459030625 642642875 899700025 3213214375 4498500125 22492500625