Search a number
-
+
45223312530 = 235112937127717
BaseRepresentation
bin101010000111100001…
…001111110010010010
311022201200122022021010
4222013201033302102
51220104132000110
632435244311350
73160450546134
oct520741176222
9138650568233
1045223312530
11181a7421060
128921242556
13435926b536
14229019d054
15129a350020
hexa8784fc92

45223312530 has 128 divisors (see below), whose sum is σ = 125797121280. Its totient is φ = 10299018240.

The previous prime is 45223312513. The next prime is 45223312577. The reversal of 45223312530 is 3521332254.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 290232 + ... + 417948.

It is an arithmetic number, because the mean of its divisors is an integer number (982790010).

Almost surely, 245223312530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45223312530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62898560640).

45223312530 is an abundant number, since it is smaller than the sum of its proper divisors (80573808750).

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

45223312530 is a wasteful number, since it uses less digits than its factorization.

45223312530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127804.

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 45223312530 its reverse (3521332254), we get a palindrome (48744644784).

It can be divided in two parts, 45223 and 312530, that added together give a palindrome (357753).

The spelling of 45223312530 in words is "forty-five billion, two hundred twenty-three million, three hundred twelve thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 37 55 58 66 74 87 110 111 145 165 174 185 222 290 319 330 370 407 435 555 638 814 870 957 1073 1110 1221 1595 1914 2035 2146 2442 3190 3219 4070 4785 5365 6105 6438 9570 10730 11803 12210 16095 23606 32190 35409 59015 70818 118030 127717 177045 255434 354090 383151 638585 766302 1277170 1404887 1915755 2809774 3703793 3831510 4214661 4725529 7024435 7407586 8429322 9451058 11111379 14048870 14176587 18518965 21073305 22222758 23627645 28353174 37037930 40741723 42146610 47255290 51980819 55556895 70882935 81483446 103961638 111113790 122225169 137040341 141765870 155942457 203708615 244450338 259904095 274080682 311884914 407417230 411121023 519808190 611125845 685201705 779712285 822242046 1222251690 1370403410 1507443751 1559424570 2055605115 3014887502 4111210230 4522331253 7537218755 9044662506 15074437510 22611656265 45223312530