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22000122320 = 2451125000139
BaseRepresentation
bin10100011111010011…
…110011100111010000
32002210020010000021012
4110133103303213100
5330024012403240
614035014550052
71406116645211
oct243723634720
962706100235
1022000122320
11936a54a580
12431b968328
1320c7b95877
1410c9bb3408
1588b654b65
hex51f4f39d0

22000122320 has 40 divisors (see below), whose sum is σ = 55800312480. Its totient is φ = 8000044160.

The previous prime is 22000122317. The next prime is 22000122341. The reversal of 22000122320 is 2322100022.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 22000122295 and 22000122304.

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 7 ways as a sum of consecutive naturals, for example, 12499190 + ... + 12500949.

It is an arithmetic number, because the mean of its divisors is an integer number (1395007812).

Almost surely, 222000122320 is an apocalyptic number.

22000122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000122320 is an abundant number, since it is smaller than the sum of its proper divisors (33800190160).

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

22000122320 is a wasteful number, since it uses less digits than its factorization.

22000122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25000163 (or 25000157 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 22000122320 its reverse (2322100022), we get a palindrome (24322222342).

The spelling of 22000122320 in words is "twenty-two billion, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 25000139 50000278 100000556 125000695 200001112 250001390 275001529 400002224 500002780 550003058 1000005560 1100006116 1375007645 2000011120 2200012232 2750015290 4400024464 5500030580 11000061160 22000122320