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22125034330500 = 2235318717883497
BaseRepresentation
bin1010000011111011000101…
…10011111101100110000100
32220100010120200110110021110
411001331202303331212010
510344444032242034000
6115020033410445020
74442323655552523
oct501754263754604
986303520413243
1022125034330500
1170601a1098a62
122593b91293770
13c464c6a2114a
14566c008d04ba
152857c9ca2850
hex141f62cfd984

22125034330500 has 96 divisors (see below), whose sum is σ = 64462543262208. Its totient is φ = 5896855008000.

The previous prime is 22125034330481. The next prime is 22125034330513. The reversal of 22125034330500 is 503343052122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135249 + ... + 6748248.

It is an arithmetic number, because the mean of its divisors is an integer number (671484825648).

Almost surely, 222125034330500 is an apocalyptic number.

22125034330500 is a gapful number since it is divisible by the number (20) 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 22125034330500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32231271631104).

22125034330500 is an abundant number, since it is smaller than the sum of its proper divisors (42337508931708).

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

22125034330500 is a wasteful number, since it uses less digits than its factorization.

22125034330500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7885390 (or 7885378 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 22125034330500 its reverse (503343052122), we get a palindrome (22628377382622).

The spelling of 22125034330500 in words is "twenty-two trillion, one hundred twenty-five billion, thirty-four million, three hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 1871 3742 5613 7484 9355 11226 18710 22452 28065 37420 46775 56130 93550 112260 140325 187100 233875 280650 467750 561300 701625 935500 1403250 2806500 7883497 15766994 23650491 31533988 39417485 47300982 78834970 94601964 118252455 157669940 197087425 236504910 394174850 473009820 591262275 788349700 985437125 1182524550 1970874250 2365049100 2956311375 3941748500 5912622750 11825245500 14750022887 29500045774 44250068661 59000091548 73750114435 88500137322 147500228870 177000274644 221250343305 295000457740 368750572175 442500686610 737501144350 885001373220 1106251716525 1475002288700 1843752860875 2212503433050 3687505721750 4425006866100 5531258582625 7375011443500 11062517165250 22125034330500