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45227430 = 2335237283
BaseRepresentation
bin1010110010000…
…1110110100110
310011002210101000
42230201312212
543034234210
64253214130
71056266253
oct254416646
9104083330
1045227430
1123591046
1213191346
1394a6cc1
14601442a
153e85ac0
hex2b21da6

45227430 has 64 divisors (see below), whose sum is σ = 125867520. Its totient is φ = 11534688.

The previous prime is 45227417. The next prime is 45227437. The reversal of 45227430 is 3472254.

45227430 is a `hidden beast` number, since 4 + 5 + 227 + 430 = 666.

45227430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45227394 and 45227403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45227437) 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 31 ways as a sum of consecutive naturals, for example, 2569 + ... + 9851.

It is an arithmetic number, because the mean of its divisors is an integer number (1966680).

Almost surely, 245227430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45227430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62933760).

45227430 is an abundant number, since it is smaller than the sum of its proper divisors (80640090).

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

45227430 is a wasteful number, since it uses less digits than its factorization.

45227430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322 (or 7316 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 45227430 is about 6725.1341994045. The cubic root of 45227430 is about 356.2875417501.

Adding to 45227430 its reverse (3472254), we get a palindrome (48699684).

It can be divided in two parts, 45 and 227430, that added together give a triangular number (227475 = T674).

The spelling of 45227430 in words is "forty-five million, two hundred twenty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 7283 14566 21849 36415 43698 65547 72830 109245 131094 167509 196641 218490 327735 335018 393282 502527 655470 837545 983205 1005054 1507581 1675090 1966410 2512635 3015162 4522743 5025270 7537905 9045486 15075810 22613715 45227430