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45222273800 = 235211213672
BaseRepresentation
bin101010000111011101…
…010010001100001000
311022201121200112101122
4222013131102030020
51220103400230200
632435210134412
73160435661564
oct520735221410
9138647615348
1045222273800
11181a6881700
128920a21408
134358c967c2
14228ddac6a4
15129a1e7385
hexa87752308

45222273800 has 108 divisors (see below), whose sum is σ = 115653675165. Its totient is φ = 16432433600.

The previous prime is 45222273773. The next prime is 45222273839. The reversal of 45222273800 is 837222254.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 44317828324 + 904445476 = 210518^2 + 30074^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=150370.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33080717 + ... + 33082083.

Almost surely, 245222273800 is an apocalyptic number.

45222273800 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 45222273800

45222273800 is an abundant number, since it is smaller than the sum of its proper divisors (70431401365).

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

45222273800 is a wasteful number, since it uses less digits than its factorization.

45222273800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 45222273800 in words is "forty-five billion, two hundred twenty-two million, two hundred seventy-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 1367 2200 2420 2734 3025 4840 5468 6050 6835 10936 12100 13670 15037 24200 27340 30074 34175 54680 60148 68350 75185 120296 136700 150370 165407 273400 300740 330814 375925 601480 661628 751850 827035 1323256 1503700 1654070 1868689 3007400 3308140 3737378 4135175 6616280 7474756 8270350 9343445 14949512 16540700 18686890 20555579 33081400 37373780 41111158 46717225 74747560 82222316 93434450 102777895 164444632 186868900 205555790 226111369 373737800 411111580 452222738 513889475 822223160 904445476 1027778950 1130556845 1808890952 2055557900 2261113690 4111115800 4522227380 5652784225 9044454760 11305568450 22611136900 45222273800