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222505999968 = 2537331110119
BaseRepresentation
bin1100111100111001100…
…1000001111001100000
3210021022211021221102210
43033032121001321200
512121143013444333
6250115015442120
722034622536160
oct3171631017140
9707284257383
10222505999968
118640092207a
1237158986340
1317c9cc47215
14aaab13a5a0
155bc4203a63
hex33ce641e60

222505999968 has 48 divisors (see below), whose sum is σ = 667518001920. Its totient is φ = 63573142656.

The previous prime is 222505999943. The next prime is 222506000009. The reversal of 222505999968 is 869999505222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 222505999899 and 222505999908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165554388 + ... + 165555731.

It is an arithmetic number, because the mean of its divisors is an integer number (13906625040).

Almost surely, 2222505999968 is an apocalyptic number.

222505999968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

222505999968 is an abundant number, since it is smaller than the sum of its proper divisors (445012001952).

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

222505999968 is a wasteful number, since it uses less digits than its factorization.

222505999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331110139 (or 331110131 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 66.

The spelling of 222505999968 in words is "two hundred twenty-two billion, five hundred five million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 331110119 662220238 993330357 1324440476 1986660714 2317770833 2648880952 3973321428 4635541666 5297761904 6953312499 7946642856 9271083332 10595523808 13906624998 15893285712 18542166664 27813249996 31786571424 37084333328 55626499992 74168666656 111252999984 222505999968