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2135609190 = 232511131743227
BaseRepresentation
bin111111101001010…
…1100111101100110
312111211112012001200
41333102230331212
513333203443230
6551525303330
7103631243601
oct17722547546
95454465050
102135609190
119a654a880
124b7264b46
132805a7ca0
141638b9338
15c774d160
hex7f4acf66

2135609190 has 384 divisors, whose sum is σ = 7098803712. Its totient is φ = 437391360.

The previous prime is 2135609183. The next prime is 2135609191. The reversal of 2135609190 is 919065312.

2135609190 is a `hidden beast` number, since 2 + 1 + 3 + 560 + 9 + 1 + 90 = 666.

It is a super-2 number, since 2×21356091902 = 9121653224824912200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135609191) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9407857 + ... + 9408083.

It is an arithmetic number, because the mean of its divisors is an integer number (18486468).

Almost surely, 22135609190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135609190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549401856).

2135609190 is an abundant number, since it is smaller than the sum of its proper divisors (4963194522).

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

2135609190 is a wasteful number, since it uses less digits than its factorization.

2135609190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2135609190 is about 46212.6518390797. The cubic root of 2135609190 is about 1287.7767908376.

The spelling of 2135609190 in words is "two billion, one hundred thirty-five million, six hundred nine thousand, one hundred ninety".