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427670221225 = 52132100612
BaseRepresentation
bin1100011100100110010…
…00011011000110101001
31111212220001222020201011
412032103020123012221
524001332034034400
6524245145023521
742620031620632
oct6162310330651
91455801866634
10427670221225
11155412766125
126aa75a84ba1
1331438132c00
14169b102a889
15b1d0c1c8ba
hex639321b1a9

427670221225 has 27 divisors (see below), whose sum is σ = 574299250959. Its totient is φ = 315786619200.

The previous prime is 427670221207. The next prime is 427670221243. The reversal of 427670221225 is 522122076724.

The square root of 427670221225 is 653965.

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

It is an interprime number because it is at equal distance from previous prime (427670221207) and next prime (427670221243).

It can be written as a sum of positive squares in 13 ways, for example, as 383957447449 + 43712773776 = 619643^2 + 209076^2 .

It is not a de Polignac number, because 427670221225 - 221 = 427668124073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42502695 + ... + 42512755.

Almost surely, 2427670221225 is an apocalyptic number.

427670221225 is the 653965-th square number.

427670221225 is the 326983-rd centered octagonal number.

It is an amenable number.

427670221225 is a deficient number, since it is larger than the sum of its proper divisors (146629029734).

427670221225 is an frugal number, since it uses more digits than its factorization.

427670221225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20158 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

Adding to 427670221225 its reverse (522122076724), we get a palindrome (949792297949).

The spelling of 427670221225 in words is "four hundred twenty-seven billion, six hundred seventy million, two hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 10061 50305 130793 251525 653965 1700309 3269825 8501545 42507725 101223721 506118605 1315908373 2530593025 6579541865 17106808849 32897709325 85534044245 427670221225