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19955225088 = 293220812
BaseRepresentation
bin10010100101011011…
…001001001000000000
31220111201021110121200
4102211123021020000
5311332014200323
613100045421200
71304336420541
oct224533111000
956451243550
1019955225088
118510227a67
123a4ab6a800
131b6032b8c6
14d7438c4c8
157bbd74443
hex4a56c9200

19955225088 has 90 divisors (see below), whose sum is σ = 57619819257. Its totient is φ = 6648545280.

The previous prime is 19955225071. The next prime is 19955225089. The reversal of 19955225088 is 88052255991.

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.

19955225088 is a `hidden beast` number, since 1 + 9 + 9 + 552 + 2 + 5 + 0 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19658283264 + 296941824 = 140208^2 + 17232^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=99888.

It is a super-2 number, since 2×199552250882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19955225089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9588208 + ... + 9590288.

Almost surely, 219955225088 is an apocalyptic number.

19955225088 is a gapful number since it is divisible by the number (18) 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 19955225088

19955225088 is an abundant number, since it is smaller than the sum of its proper divisors (37664594169).

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

19955225088 is an frugal number, since it uses more digits than its factorization.

19955225088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 19955225088 in words is "nineteen billion, nine hundred fifty-five million, two hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2081 2304 4162 4608 6243 8324 12486 16648 18729 24972 33296 37458 49944 66592 74916 99888 133184 149832 199776 266368 299664 399552 532736 599328 799104 1065472 1198656 1598208 2397312 3196416 4330561 4794624 8661122 9589248 12991683 17322244 25983366 34644488 38975049 51966732 69288976 77950098 103933464 138577952 155900196 207866928 277155904 311800392 415733856 554311808 623600784 831467712 1108623616 1247201568 1662935424 2217247232 2494403136 3325870848 4988806272 6651741696 9977612544 19955225088