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22301203432225 = 52587216092
BaseRepresentation
bin1010001001000011001110…
…10011110000001100100001
32220221222022012201002000211
411010201213103300030201
510410340331034312400
6115233010442014121
74461131416324144
oct504414723601441
986858265632024
1022301203432225
117118983a45603
122602157aa7341
13c59cc0aa0483
145715539d405b
1528a18aed9dba
hex1448674f0321

22301203432225 has 27 divisors (see below), whose sum is σ = 27717909164697. Its totient is φ = 17799499942080.

The previous prime is 22301203432223. The next prime is 22301203432253. The reversal of 22301203432225 is 52223430210322.

The square root of 22301203432225 is 4722415.

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 5009678009361 + 17291525422864 = 2238231^2 + 4158308^2 .

It is not a de Polignac number, because 22301203432225 - 21 = 22301203432223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22301203432223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13860287221 + ... + 13860288829.

Almost surely, 222301203432225 is an apocalyptic number.

22301203432225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22301203432225 is the 4722415-th square number.

22301203432225 is the 2361208-th centered octagonal number.

It is an amenable number.

22301203432225 is a deficient number, since it is larger than the sum of its proper divisors (5416705732472).

22301203432225 is an frugal number, since it uses more digits than its factorization.

22301203432225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 22301203432225 its reverse (52223430210322), we get a palindrome (74524633642547).

The spelling of 22301203432225 in words is "twenty-two trillion, three hundred one billion, two hundred three million, four hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 587 1609 2935 8045 14675 40225 344569 944483 1722845 2588881 4722415 8614225 12944405 23612075 64722025 554411521 1519673147 2772057605 7598365735 13860288025 37991828675 892048137289 4460240686445 22301203432225