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22432300000 = 25551120393
BaseRepresentation
bin10100111001000100…
…011011101111100000
32010220100022220120221
4110321010123233200
5331420132100000
614145534012424
71422615255355
oct247104335740
963810286527
1022432300000
1195714a3010
124420647114
1321665923c6
14112b35262c
158b457261a
hex53911bbe0

22432300000 has 144 divisors (see below), whose sum is σ = 60222176784. Its totient is φ = 8156800000.

The previous prime is 22432299997. The next prime is 22432300019. The reversal of 22432300000 is 323422.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1089804 + ... + 1110196.

It is an arithmetic number, because the mean of its divisors is an integer number (418209561).

Almost surely, 222432300000 is an apocalyptic number.

22432300000 is a gapful number since it is divisible by the number (20) 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 22432300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30111088392).

22432300000 is an abundant number, since it is smaller than the sum of its proper divisors (37789876784).

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

22432300000 is an equidigital number, since it uses as much as digits as its factorization.

22432300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20439 (or 20411 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 22432300000 its reverse (323422), we get a palindrome (22432623422).

The spelling of 22432300000 in words is "twenty-two billion, four hundred thirty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 20393 22000 25000 27500 34375 40786 44000 50000 55000 68750 81572 100000 101965 110000 137500 163144 203930 220000 224323 275000 326288 407860 448646 509825 550000 652576 815720 897292 1019650 1100000 1121615 1631440 1794584 2039300 2243230 2549125 3262880 3589168 4078600 4486460 5098250 5608075 7178336 8157200 8972920 10196500 11216150 12745625 16314400 17945840 20393000 22432300 25491250 28040375 35891680 40786000 44864600 50982500 56080750 63728125 81572000 89729200 101965000 112161500 127456250 140201875 179458400 203930000 224323000 254912500 280403750 407860000 448646000 509825000 560807500 701009375 897292000 1019650000 1121615000 1402018750 2039300000 2243230000 2804037500 4486460000 5608075000 11216150000 22432300000