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10222210022000 = 245323222221957
BaseRepresentation
bin1001010011000000101100…
…1100100111101001110000
31100012020022101120221211012
42110300023030213221300
52314440041231201000
633424003553010052
72103346615355114
oct224601314475160
940166271527735
1010222210022000
1132912400794a9
121191171553928
13591c47982542
14274a86c21744
1512ad8317e735
hex94c0b327a70

10222210022000 has 80 divisors (see below), whose sum is σ = 25791969333312. Its totient is φ = 3911106425600.

The previous prime is 10222210021967. The next prime is 10222210022041. The reversal of 10222210022000 is 22001222201.

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

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, 111064979 + ... + 111156978.

Almost surely, 210222210022000 is an apocalyptic number.

10222210022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222210022000 is an abundant number, since it is smaller than the sum of its proper divisors (15569759311312).

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

10222210022000 is a wasteful number, since it uses less digits than its factorization.

10222210022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222222003 (or 222221987 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10222210022000 its reverse (22001222201), we get a palindrome (10244211244201).

The spelling of 10222210022000 in words is "ten trillion, two hundred twenty-two billion, two hundred ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 222221957 444443914 888887828 1111109785 1777775656 2222219570 3555551312 4444439140 5111105011 5555548925 8888878280 10222210022 11111097850 17777756560 20444420044 22222195700 25555525055 27777744625 40888840088 44444391400 51111050110 55555489250 81777680176 88888782800 102222100220 111110978500 127777625275 204444200440 222221957000 255555250550 408888400880 444443914000 511110501100 638888126375 1022221002200 1277776252750 2044442004400 2555552505500 5111105011000 10222210022000