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45204224 = 281317247
BaseRepresentation
bin1010110001110…
…0001100000000
310011001121112112
42230130030000
543033013344
64252514452
71056141512
oct254341400
9104047475
1045204224
112357566a
121317ba28
139499580
146009bb2
153e7dc9e
hex2b1c300

45204224 has 108 divisors (see below), whose sum is σ = 105421344. Its totient is φ = 19218432.

The previous prime is 45204217. The next prime is 45204227. The reversal of 45204224 is 42240254.

It is a self number, because there is not a number n which added to its sum of digits gives 45204224.

It is not an unprimeable number, because it can be changed into a prime (45204227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 961769 + ... + 961815.

Almost surely, 245204224 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 45204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52710672).

45204224 is an abundant number, since it is smaller than the sum of its proper divisors (60217120).

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

45204224 is a wasteful number, since it uses less digits than its factorization.

45204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 45204224 is about 6723.4086593037. The cubic root of 45204224 is about 356.2265947894.

Adding to 45204224 its reverse (42240254), we get a palindrome (87444478).

The spelling of 45204224 in words is "forty-five million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 47 52 64 68 94 104 128 136 188 208 221 256 272 289 376 416 442 544 578 611 752 799 832 884 1088 1156 1222 1504 1598 1664 1768 2176 2312 2444 3008 3196 3328 3536 3757 4352 4624 4888 6016 6392 7072 7514 9248 9776 10387 12032 12784 13583 14144 15028 18496 19552 20774 25568 27166 28288 30056 36992 39104 41548 51136 54332 56576 60112 73984 78208 83096 102272 108664 120224 156416 166192 176579 204544 217328 240448 332384 353158 434656 480896 664768 706316 869312 961792 1329536 1412632 1738624 2659072 2825264 3477248 5650528 11301056 22602112 45204224