Search a number
-
+
45222240360 = 233511339110103
BaseRepresentation
bin101010000111011101…
…001010000001101000
311022201121121211112010
4222013131022001220
51220103343142420
632435205315520
73160435462233
oct520735120150
9138647554463
1045222240360
11181a6859570
128920a05ba0
134358c8450b
14228dda041a
15129a1dc4e0
hexa8774a068

45222240360 has 128 divisors (see below), whose sum is σ = 148058357760. Its totient is φ = 10958649600.

The previous prime is 45222240353. The next prime is 45222240377. The reversal of 45222240360 is 6304222254.

It is a super-2 number, since 2×452222403602 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4471069 + ... + 4481171.

It is an arithmetic number, because the mean of its divisors is an integer number (1156705920).

Almost surely, 245222240360 is an apocalyptic number.

45222240360 is a gapful number since it is divisible by the number (40) 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 45222240360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74029178880).

45222240360 is an abundant number, since it is smaller than the sum of its proper divisors (102836117400).

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

45222240360 is a wasteful number, since it uses less digits than its factorization.

45222240360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13519 (or 13515 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

It can be divided in two parts, 45222 and 240360, that added together give a palindrome (285582).

The spelling of 45222240360 in words is "forty-five billion, two hundred twenty-two million, two hundred forty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3391 6782 10103 10173 13564 16955 20206 20346 27128 30309 33910 37301 40412 40692 50515 50865 60618 67820 74602 80824 81384 101030 101730 111133 111903 121236 135640 149204 151545 186505 202060 203460 222266 223806 242472 298408 303090 333399 373010 404120 406920 444532 447612 555665 559515 606180 666798 746020 889064 895224 1111330 1119030 1212360 1333596 1492040 1666995 2222660 2238060 2667192 3333990 4445320 4476120 6667980 13335960 34259273 68518546 102777819 137037092 171296365 205555638 274074184 342592730 376852003 411111276 513889095 685185460 753704006 822222552 1027778190 1130556009 1370370920 1507408012 1884260015 2055556380 2261112018 3014816024 3768520030 4111112760 4522224036 5652780045 7537040060 9044448072 11305560090 15074080120 22611120180 45222240360