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22125030525 = 345213840457
BaseRepresentation
bin10100100110110000…
…010010110001111101
32010002221011000010000
4110212300102301331
5330303001434100
614055240104513
71412164441113
oct244660226175
963087130100
1022125030525
1194240039a4
124355765139
132117a1a850
1410dc609ab3
158975c9900
hex526c12c7d

22125030525 has 60 divisors (see below), whose sum is σ = 44135811412. Its totient is φ = 10892309760.

The previous prime is 22125030497. The next prime is 22125030589. The reversal of 22125030525 is 52503052122.

It can be written as a sum of positive squares in 6 ways, for example, as 5389468569 + 16735561956 = 73413^2 + 129366^2 .

It is not a de Polignac number, because 22125030525 - 25 = 22125030493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

22125030525 is a modest number, since divided by 30525 gives 22125 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 393904 + ... + 446553.

Almost surely, 222125030525 is an apocalyptic number.

22125030525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22125030525 is a deficient number, since it is larger than the sum of its proper divisors (22010780887).

22125030525 is a wasteful number, since it uses less digits than its factorization.

22125030525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840492 (or 840478 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 22125030525 its reverse (52503052122), we get a palindrome (74628082647).

The spelling of 22125030525 in words is "twenty-two billion, one hundred twenty-five million, thirty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 325 351 405 585 675 975 1053 1755 2025 2925 5265 8775 26325 840457 2521371 4202285 7564113 10925941 12606855 21011425 22692339 32777823 37820565 54629705 63034275 68077017 98333469 113461695 163889115 189102825 273148525 295000407 340385085 491667345 567308475 819445575 885001221 1475002035 1701925425 2458336725 4425006105 7375010175 22125030525