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45574220232 = 233213921812
BaseRepresentation
bin101010011100011011…
…110110100111001000
311100122010221021010200
4222130123312213020
51221314000021412
632534141412200
73202241323512
oct523433664710
9140563837120
1045574220232
1118367506222
1289ba86a060
1343b3b81928
1422c4a24bb2
1512bb0679dc
hexa9c6f69c8

45574220232 has 108 divisors (see below), whose sum is σ = 125015225985. Its totient is φ = 14998789440.

The previous prime is 45574220221. The next prime is 45574220233. The reversal of 45574220232 is 23202247554.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45574220232 is a `hidden beast` number, since 45 + 574 + 2 + 20 + 23 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27544713156 + 18029507076 = 165966^2 + 134274^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=150954.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45574220233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 251791182 + ... + 251791362.

Almost surely, 245574220232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45574220232

45574220232 is an abundant number, since it is smaller than the sum of its proper divisors (79441005753).

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

45574220232 is a wasteful number, since it uses less digits than its factorization.

45574220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 45574220232 its reverse (23202247554), we get a palindrome (68776467786).

The spelling of 45574220232 in words is "forty-five billion, five hundred seventy-four million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 181 278 362 417 543 556 724 834 1086 1112 1251 1448 1629 1668 2172 2502 3258 3336 4344 5004 6516 10008 13032 19321 25159 32761 38642 50318 57963 65522 75477 77284 98283 100636 115926 131044 150954 154568 173889 196566 201272 226431 231852 262088 294849 301908 347778 393132 452862 463704 589698 603816 695556 786264 905724 1179396 1391112 1811448 2358792 3497101 4553779 6994202 9107558 10491303 13661337 13988404 18215116 20982606 27322674 27976808 31473909 36430232 40984011 41965212 54645348 62947818 81968022 83930424 109290696 125895636 163936044 251791272 327872088 632975281 1265950562 1898925843 2531901124 3797851686 5063802248 5696777529 7595703372 11393555058 15191406744 22787110116 45574220232