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2200146 = 231367421
BaseRepresentation
bin1000011001001001010010
311010210000220
420121021102
51030401041
6115053510
724462264
oct10311122
94123026
102200146
111273003
128a1296
135c0580
14413b34
152d6d66
hex219252

2200146 has 32 divisors (see below), whose sum is σ = 4820928. Its totient is φ = 665280.

The previous prime is 2200141. The next prime is 2200153. The reversal of 2200146 is 6410022.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2200141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5016 + ... + 5436.

It is an arithmetic number, because the mean of its divisors is an integer number (150654).

22200146 is an apocalyptic number.

2200146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410464).

2200146 is an abundant number, since it is smaller than the sum of its proper divisors (2620782).

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

2200146 is a wasteful number, since it uses less digits than its factorization.

2200146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2200146 is about 1483.2889131926. The cubic root of 2200146 is about 130.0620216874.

Adding to 2200146 its reverse (6410022), we get a palindrome (8610168).

It can be divided in two parts, 2200 and 146, that added together give a triangular number (2346 = T68).

The spelling of 2200146 in words is "two million, two hundred thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 421 842 871 1263 1742 2526 2613 5226 5473 10946 16419 28207 32838 56414 84621 169242 366691 733382 1100073 2200146