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45111220 = 22571122663
BaseRepresentation
bin1010110000010…
…1011110110100
310010212212221221
42230011132310
543022024340
64250520124
71055303410
oct254053664
9103785857
1045111220
1123511800
1213136044
13946613b
145dc3d40
153e6144a
hex2b057b4

45111220 has 72 divisors (see below), whose sum is σ = 119048832. Its totient is φ = 14055360.

The previous prime is 45111203. The next prime is 45111221. The reversal of 45111220 is 2211154.

45111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45111194 and 45111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45111221) 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 23 ways as a sum of consecutive naturals, for example, 15609 + ... + 18271.

It is an arithmetic number, because the mean of its divisors is an integer number (1653456).

Almost surely, 245111220 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 45111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59524416).

45111220 is an abundant number, since it is smaller than the sum of its proper divisors (73937612).

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

45111220 is a wasteful number, since it uses less digits than its factorization.

45111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 45111220 is about 6716.4886659623. The cubic root of 45111220 is about 355.9821246758.

Adding to 45111220 its reverse (2211154), we get a palindrome (47322374).

The spelling of 45111220 in words is "forty-five million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 2663 3388 4235 5326 8470 10652 13315 16940 18641 26630 29293 37282 53260 58586 74564 93205 117172 146465 186410 205051 292930 322223 372820 410102 585860 644446 820204 1025255 1288892 1611115 2050510 2255561 3222230 4101020 4511122 6444460 9022244 11277805 22555610 45111220