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2205322140996 = 22321337127357481
BaseRepresentation
bin100000000101110111011…
…100010101110101000100
321210211022200200022101200
4200011313130111311010
5242112444432002441
64405035551022500
7315220636623102
oct40056734256504
97724280608350
102205322140996
117802a9946317
122b74a5b0aa30
1312cc653929b0
1478a4972ac72
153c5737dc7b6
hex20177715d44

2205322140996 has 72 divisors (see below), whose sum is σ = 6165630418584. Its totient is φ = 660221176320.

The previous prime is 2205322140979. The next prime is 2205322141013. The reversal of 2205322140996 is 6990412235022.

2205322140996 is a `hidden beast` number, since 2 + 2 + 0 + 532 + 21 + 4 + 0 + 9 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (2205322140979) and next prime (2205322141013).

It can be written as a sum of positive squares in 4 ways, for example, as 3926776896 + 2201395364100 = 62664^2 + 1483710^2 .

It is a super-4 number, since 4×22053221409964 (a number of 50 digits) contains 4444 as substring.

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 23 ways as a sum of consecutive naturals, for example, 63661425 + ... + 63696056.

Almost surely, 22205322140996 is an apocalyptic number.

2205322140996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2205322140996 is an abundant number, since it is smaller than the sum of its proper divisors (3960308277588).

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

2205322140996 is a wasteful number, since it uses less digits than its factorization.

2205322140996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127357541 (or 127357536 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2205322140996 in words is "two trillion, two hundred five billion, three hundred twenty-two million, one hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 8658 17316 127357481 254714962 382072443 509429924 764144886 1146217329 1528289772 1655647253 2292434658 3311294506 4584869316 4712226797 4966941759 6622589012 9424453594 9933883518 14136680391 14900825277 18848907188 19867767036 28273360782 29801650554 42410041173 56546721564 59603301108 61258948361 84820082346 122517896722 169640164692 183776845083 245035793444 367553690166 551330535249 735107380332 1102661070498 2205322140996