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2133645150 = 2352713672333
BaseRepresentation
bin111111100101100…
…1101011101011110
312111200211101220110
41333023031131132
513332203121100
6551415230450
7103605453540
oct17713153536
95450741813
102133645150
119a54291aa
124b6678426
1328006b030
14163527690
15c74b1250
hex7f2cd75e

2133645150 has 192 divisors, whose sum is σ = 6612576768. Its totient is φ = 443266560.

The previous prime is 2133645139. The next prime is 2133645169. The reversal of 2133645150 is 515463312.

2133645150 is a nontrivial binomial coefficient, being equal to C(65325, 2).

It is a super-2 number, since 2×21336451502 = 9104883252237045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 913384 + ... + 915716.

It is an arithmetic number, because the mean of its divisors is an integer number (34440504).

Almost surely, 22133645150 is an apocalyptic number.

2133645150 is the 65324-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133645150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306288384).

2133645150 is an abundant number, since it is smaller than the sum of its proper divisors (4478931618).

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

2133645150 is a wasteful number, since it uses less digits than its factorization.

2133645150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2133645150 is about 46191.3969262676. The cubic root of 2133645150 is about 1287.3818963523.

The spelling of 2133645150 in words is "two billion, one hundred thirty-three million, six hundred forty-five thousand, one hundred fifty".