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2135519232 = 21237113761
BaseRepresentation
bin111111101001001…
…0111000000000000
312111211100121122220
41333102113000000
513333143103412
6551523331040
7103630420410
oct17722270000
95454317586
102135519232
119a6499230
124b7220a80
13280576062
14163894640
15c773168c
hex7f497000

2135519232 has 416 divisors, whose sum is σ = 7410430464. Its totient is φ = 530841600.

The previous prime is 2135519189. The next prime is 2135519237. The reversal of 2135519232 is 2329155312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2135519193 and 2135519202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135519237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35008482 + ... + 35008542.

Almost surely, 22135519232 is an apocalyptic number.

2135519232 is a gapful number since it is divisible by the number (22) 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 2135519232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705215232).

2135519232 is an abundant number, since it is smaller than the sum of its proper divisors (5274911232).

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

2135519232 is a wasteful number, since it uses less digits than its factorization.

2135519232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 2135519232 is about 46211.6785239402. The cubic root of 2135519232 is about 1287.7587089632.

The spelling of 2135519232 in words is "two billion, one hundred thirty-five million, five hundred nineteen thousand, two hundred thirty-two".