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220453725625 = 547226832
BaseRepresentation
bin1100110101010000010…
…0001110010110111001
3210002000210120121021221
43031110010032112321
512102442123210000
6245135224232041
721633022515100
oct3152404162671
9702023517257
10220453725625
1185548420a81
123688560b621
1317a339c94c3
14a954755037
155b03e6761a
hex335410e5b9

220453725625 has 45 divisors (see below), whose sum is σ = 320574618441. Its totient is φ = 151111926000.

The previous prime is 220453725607. The next prime is 220453725671. The reversal of 220453725625 is 526527354022.

The square root of 220453725625 is 469525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 17283572089 + 203170153536 = 131467^2 + 450744^2 .

It is not a de Polignac number, because 220453725625 - 219 = 220453201337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82165534 + ... + 82168216.

Almost surely, 2220453725625 is an apocalyptic number.

220453725625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

220453725625 is the 469525-th square number.

220453725625 is the 234763-rd centered octagonal number.

It is an amenable number.

220453725625 is a deficient number, since it is larger than the sum of its proper divisors (100120892816).

220453725625 is an frugal number, since it uses more digits than its factorization.

220453725625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 43.

The spelling of 220453725625 in words is "two hundred twenty billion, four hundred fifty-three million, seven hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 875 1225 2683 4375 6125 13415 18781 30625 67075 93905 131467 335375 469525 657335 1676875 2347625 3286675 7198489 11738125 16433375 35992445 50389423 82166875 179962225 251947115 352725961 899811125 1259735575 1763629805 4499055625 6298677875 8818149025 31493389375 44090745125 220453725625