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161441600 = 26522341107
BaseRepresentation
bin10011001111101…
…10011101000000
3102020210002020112
421213312131000
5312312112400
624004130452
74000142135
oct1147663500
9366702215
10161441600
1183147511
1246096a28
13275a6998
141762658c
15e28e835
hex99f6740

161441600 has 168 divisors, whose sum is σ = 428597568. Its totient is φ = 59699200.

The previous prime is 161441593. The next prime is 161441603. The reversal of 161441600 is 6144161.

161441600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161441603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508747 + ... + 1508853.

It is an arithmetic number, because the mean of its divisors is an integer number (2551176).

Almost surely, 2161441600 is an apocalyptic number.

161441600 is a gapful number since it is divisible by the number (10) 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 161441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214298784).

161441600 is an abundant number, since it is smaller than the sum of its proper divisors (267155968).

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

161441600 is a wasteful number, since it uses less digits than its factorization.

161441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 161441600 is about 12705.9671021139. The cubic root of 161441600 is about 544.5091110503.

Adding to 161441600 its reverse (6144161), we get a palindrome (167585761).

The spelling of 161441600 in words is "one hundred sixty-one million, four hundred forty-one thousand, six hundred".