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900198012 = 223732337257
BaseRepresentation
bin110101101001111…
…110111001111100
32022201212210112010
4311221332321330
53320422314022
6225154211220
731210362000
oct6551767174
92281783463
10900198012
114221580aa
12211583b10
1311466585c
14877ac700
155406a50c
hex35a7ee7c

900198012 has 192 divisors, whose sum is σ = 2635315200. Its totient is φ = 238436352.

The previous prime is 900197983. The next prime is 900198029. The reversal of 900198012 is 210891009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3502588 + ... + 3502844.

It is an arithmetic number, because the mean of its divisors is an integer number (13725600).

Almost surely, 2900198012 is an apocalyptic number.

900198012 is a gapful number since it is divisible by the number (92) 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 900198012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317657600).

900198012 is an abundant number, since it is smaller than the sum of its proper divisors (1735117188).

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

900198012 is a wasteful number, since it uses less digits than its factorization.

900198012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 900198012 is about 30003.3000184980. The cubic root of 900198012 is about 965.5601862594.

The spelling of 900198012 in words is "nine hundred million, one hundred ninety-eight thousand, twelve".