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20221425 = 3252737347
BaseRepresentation
bin100110100100…
…0110111110001
31102001100120200
41031020313301
520134041200
62001225413
7333610410
oct115106761
942040520
1020221425
1110461724
126932269
134260153
142985477
151b96800
hex1348df1

20221425 has 72 divisors (see below), whose sum is σ = 42634176. Its totient is φ = 8968320.

The previous prime is 20221403. The next prime is 20221427. The reversal of 20221425 is 52412202.

20221425 is a `hidden beast` number, since 20 + 221 + 425 = 666.

It is not a de Polignac number, because 20221425 - 211 = 20219377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20221398 and 20221407.

It is not an unprimeable number, because it can be changed into a prime (20221427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58102 + ... + 58448.

Almost surely, 220221425 is an apocalyptic number.

20221425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20221425 is an abundant number, since it is smaller than the sum of its proper divisors (22412751).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20221425 is a wasteful number, since it uses less digits than its factorization.

20221425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20221425 is about 4496.8238791396. The cubic root of 20221425 is about 272.4398206193.

Adding to 20221425 its reverse (52412202), we get a palindrome (72633627).

It can be divided in two parts, 20 and 221425, that added together give a triangular number (221445 = T665).

The spelling of 20221425 in words is "twenty million, two hundred twenty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 37 45 63 75 105 111 175 185 225 259 315 333 347 525 555 777 925 1041 1295 1575 1665 1735 2331 2429 2775 3123 3885 5205 6475 7287 8325 8675 11655 12145 12839 15615 19425 21861 26025 36435 38517 58275 60725 64195 78075 89873 109305 115551 182175 192585 269619 320975 449365 546525 577755 808857 962925 1348095 2246825 2888775 4044285 6740475 20221425