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22121887793440 = 255254354369563
BaseRepresentation
bin1010000011110101001110…
…10000111000000100100000
32220022211110101200210212211
411001322213100320010200
510344421111233342230
6115014353245331504
74442153000462221
oct501724720700440
986284411623784
1022121887793440
117059926a41106
122593453566b94
13c46114b80cb6
145669c2a61248
1528569391542a
hex141ea7438120

22121887793440 has 48 divisors (see below), whose sum is σ = 52283512568448. Its totient is φ = 8845275302656.

The previous prime is 22121887793353. The next prime is 22121887793441. The reversal of 22121887793440 is 4439778812122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22121887793441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26777902 + ... + 27591661.

It is an arithmetic number, because the mean of its divisors is an integer number (1089239845176).

Almost surely, 222121887793440 is an apocalyptic number.

22121887793440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121887793440 is an abundant number, since it is smaller than the sum of its proper divisors (30161624775008).

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

22121887793440 is a wasteful number, since it uses less digits than its factorization.

22121887793440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54372121 (or 54372113 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 22121887793440 in words is "twenty-two trillion, one hundred twenty-one billion, eight hundred eighty-seven million, seven hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2543 5086 10172 12715 20344 25430 40688 50860 81376 101720 203440 406880 54369563 108739126 217478252 271847815 434956504 543695630 869913008 1087391260 1739826016 2174782520 4349565040 8699130080 138261798709 276523597418 553047194836 691308993545 1106094389672 1382617987090 2212188779344 2765235974180 4424377558688 5530471948360 11060943896720 22121887793440