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45022164 = 223112101307
BaseRepresentation
bin1010101110111…
…1101111010100
310010201100210120
42223233233110
543011202124
64244551540
71054452645
oct253575724
9103640716
1045022164
1123460900
12130b25b0
139434745
145d9d6cc
153e44d79
hex2aefbd4

45022164 has 72 divisors (see below), whose sum is σ = 116993184. Its totient is φ = 13464000.

The previous prime is 45022157. The next prime is 45022169. The reversal of 45022164 is 46122054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45022169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146499 + ... + 146805.

Almost surely, 245022164 is an apocalyptic number.

45022164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45022164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496592).

45022164 is an abundant number, since it is smaller than the sum of its proper divisors (71971020).

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

45022164 is a wasteful number, since it uses less digits than its factorization.

45022164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45022164 is about 6709.8557361541. The cubic root of 45022164 is about 355.7477171481.

It can be divided in two parts, 4502 and 2164, that added together give a palindrome (6666).

The spelling of 45022164 in words is "forty-five million, twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 307 363 404 484 606 614 726 921 1111 1212 1228 1452 1842 2222 3333 3377 3684 4444 6666 6754 10131 12221 13332 13508 20262 24442 31007 36663 37147 40524 48884 62014 73326 74294 93021 111441 124028 146652 148588 186042 222882 341077 372084 445764 682154 1023231 1364308 2046462 3751847 4092924 7503694 11255541 15007388 22511082 45022164