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6225161400 = 2332523458423
BaseRepresentation
bin1011100110000110…
…00110110010111000
3121001211201222001100
411303003012302320
5100222120131100
62505414451400
7310156666413
oct56303066270
917054658040
106225161400
112704a39997
121258963b60
13782922873
14430aa0b7a
152667b2400
hex1730c6cb8

6225161400 has 72 divisors (see below), whose sum is σ = 20906173080. Its totient is φ = 1660042560.

The previous prime is 6225161389. The next prime is 6225161401. The reversal of 6225161400 is 41615226.

6225161400 is a `hidden beast` number, since 6 + 2 + 2 + 516 + 140 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6225161401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1727412 + ... + 1731011.

It is an arithmetic number, because the mean of its divisors is an integer number (290363515).

Almost surely, 26225161400 is an apocalyptic number.

6225161400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6225161400 is an abundant number, since it is smaller than the sum of its proper divisors (14681011680).

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

6225161400 is a wasteful number, since it uses less digits than its factorization.

6225161400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458445 (or 3458433 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6225161400 is about 78899.6920146080. The cubic root of 6225161400 is about 1839.5723446883.

Adding to 6225161400 its reverse (41615226), we get a palindrome (6266776626).

The spelling of 6225161400 in words is "six billion, two hundred twenty-five million, one hundred sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 3458423 6916846 10375269 13833692 17292115 20750538 27667384 31125807 34584230 41501076 51876345 62251614 69168460 83002152 86460575 103752690 124503228 138336920 155629035 172921150 207505380 249006456 259381725 311258070 345842300 415010760 518763450 622516140 691684600 778145175 1037526900 1245032280 1556290350 2075053800 3112580700 6225161400