201369000 has 256 divisors, whose sum is σ = 738017280. Its totient is φ = 44755200.

The previous prime is 201368987. The next prime is 201369037. The reversal of 201369000 is 963102.

It is a super-2 number, since 2×201369000² = 81098948322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 902889 + ... + 903111.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^201369000 is an apocalyptic number.

201369000 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 201369000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369008640).

201369000 is an abundant number, since it is smaller than the sum of its proper divisors (536648280).

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

201369000 is a wasteful number, since it uses less digits than its factorization.

201369000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 201369000 is about 14190.4545381746. The cubic root of 201369000 is about 586.1348414398.

The spelling of 201369000 in words is "two hundred one million, three hundred sixty-nine thousand".