Search a number
-
+
45222133000 = 23531119872069
BaseRepresentation
bin101010000111011100…
…101111110100001000
311022201121102101020211
4222013130233310020
51220103331224000
632435203130504
73160434534232
oct520734576410
9138647371224
1045222133000
11181a6795940
128920973a34
134358c476a5
14228dd73252
15129a1ba7ba
hexa8772fd08

45222133000 has 128 divisors (see below), whose sum is σ = 115553692800. Its totient is φ = 16428192000.

The previous prime is 45222132979. The next prime is 45222133001. The reversal of 45222133000 is 33122254.

45222133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (45222133001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21855966 + ... + 21858034.

It is an arithmetic number, because the mean of its divisors is an integer number (902763225).

Almost surely, 245222133000 is an apocalyptic number.

45222133000 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 45222133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57776846400).

45222133000 is an abundant number, since it is smaller than the sum of its proper divisors (70331559800).

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

45222133000 is a wasteful number, since it uses less digits than its factorization.

45222133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 45222133000 its reverse (33122254), we get a palindrome (45255255254).

The spelling of 45222133000 in words is "forty-five billion, two hundred twenty-two million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 1987 2069 2200 2750 3974 4138 5500 7948 8276 9935 10345 11000 15896 16552 19870 20690 21857 22759 39740 41380 43714 45518 49675 51725 79480 82760 87428 91036 99350 103450 109285 113795 174856 182072 198700 206900 218570 227590 248375 258625 397400 413800 437140 455180 496750 517250 546425 568975 874280 910360 993500 1034500 1092850 1137950 1987000 2069000 2185700 2275900 2732125 2844875 4111103 4371400 4551800 5464250 5689750 8222206 10928500 11379500 16444412 20555515 21857000 22759000 32888824 41111030 45222133 82222060 90444266 102777575 164444120 180888532 205555150 226110665 361777064 411110300 452221330 513887875 822220600 904442660 1027775750 1130553325 1808885320 2055551500 2261106650 4111103000 4522213300 5652766625 9044426600 11305533250 22611066500 45222133000