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22131222000 = 243533688537
BaseRepresentation
bin10100100111000111…
…111010010111110000
32010010100210120012220
4110213013322113300
5330311043101000
614100020521040
71412301166056
oct244707722760
963110716186
1022131222000
119427552718
124357850180
1321190a7a44
1410dd37c1d6
15897dee1a0
hex5271fa5f0

22131222000 has 80 divisors (see below), whose sum is σ = 71351079072. Its totient is φ = 5901657600.

The previous prime is 22131221969. The next prime is 22131222011. The reversal of 22131222000 is 22213122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1838269 + ... + 1850268.

Almost surely, 222131222000 is an apocalyptic number.

22131222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131222000 is an abundant number, since it is smaller than the sum of its proper divisors (49219857072).

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

22131222000 is a wasteful number, since it uses less digits than its factorization.

22131222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688563 (or 3688547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22131222000 its reverse (22213122), we get a palindrome (22153435122).

It can be divided in two parts, 2213122 and 2000, that added together give a palindrome (2215122).

The spelling of 22131222000 in words is "twenty-two billion, one hundred thirty-one million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 3688537 7377074 11065611 14754148 18442685 22131222 29508296 36885370 44262444 55328055 59016592 73770740 88524888 92213425 110656110 147541480 177049776 184426850 221312220 276640275 295082960 368853700 442624440 461067125 553280550 737707400 885248880 922134250 1106561100 1383201375 1475414800 1844268500 2213122200 2766402750 3688537000 4426244400 5532805500 7377074000 11065611000 22131222000