Search a number
-
+
45224835180 = 22357267229591
BaseRepresentation
bin101010000111100111…
…000011100001101100
311022201210111122221120
4222013213003201230
51220110024211210
632435341100540
73160466520300
oct520747034154
9138653448846
1045224835180
11181a8271048
128921857750
134359682605
142290477d00
15129a551270
hexa879c386c

45224835180 has 144 divisors (see below), whose sum is σ = 149502963456. Its totient is φ = 10182775680.

The previous prime is 45224835169. The next prime is 45224835197. The reversal of 45224835180 is 8153842254.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 82185 + ... + 311775.

It is an arithmetic number, because the mean of its divisors is an integer number (1038215024).

Almost surely, 245224835180 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 45224835180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74751481728).

45224835180 is an abundant number, since it is smaller than the sum of its proper divisors (104278128276).

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

45224835180 is a wasteful number, since it uses less digits than its factorization.

45224835180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229684 (or 229675 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 45224835180 in words is "forty-five billion, two hundred twenty-four million, eight hundred thirty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 67 70 84 98 105 134 140 147 196 201 210 245 268 294 335 402 420 469 490 588 670 735 804 938 980 1005 1340 1407 1470 1876 2010 2345 2814 2940 3283 4020 4690 5628 6566 7035 9380 9849 13132 14070 16415 19698 28140 32830 39396 49245 65660 98490 196980 229591 459182 688773 918364 1147955 1377546 1607137 2295910 2755092 3214274 3443865 4591820 4821411 6428548 6887730 8035685 9642822 11249959 13775460 15382597 16071370 19285644 22499918 24107055 30765194 32142740 33749877 44999836 46147791 48214110 56249795 61530388 67499754 76912985 92295582 96428220 107678179 112499590 134999508 153825970 168749385 184591164 215356358 224999180 230738955 307651940 323034537 337498770 430712716 461477910 538390895 646069074 674997540 753747253 922955820 1076781790 1292138148 1507494506 1615172685 2153563580 2261241759 3014989012 3230345370 3768736265 4522483518 6460690740 7537472530 9044967036 11306208795 15074945060 22612417590 45224835180