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2150288032 = 252323312539
BaseRepresentation
bin1000000000101010…
…1100101010100000
312112212010221122111
42000022230222200
513400433204112
6553212045104
7104200101214
oct20012545240
95485127574
102150288032
11a03866252
12500163794
132836473a9
1416581a944
15c8b9c5a7
hex802acaa0

2150288032 has 48 divisors (see below), whose sum is σ = 4436752320. Its totient is φ = 1023903232.

The previous prime is 2150288029. The next prime is 2150288087. The reversal of 2150288032 is 2308820512.

It is a junction number, because it is equal to n+sod(n) for n = 2150287985 and 2150288003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165219 + ... + 177757.

It is an arithmetic number, because the mean of its divisors is an integer number (92432340).

Almost surely, 22150288032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2150288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218376160).

2150288032 is an abundant number, since it is smaller than the sum of its proper divisors (2286464288).

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

2150288032 is a wasteful number, since it uses less digits than its factorization.

2150288032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12805 (or 12797 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2150288032 is about 46371.1983023946. The cubic root of 2150288032 is about 1290.7205141021.

The spelling of 2150288032 in words is "two billion, one hundred fifty million, two hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 233 368 466 736 932 1864 3728 5359 7456 10718 12539 21436 25078 42872 50156 85744 100312 171488 200624 288397 401248 576794 1153588 2307176 2921587 4614352 5843174 9228704 11686348 23372696 46745392 67196501 93490784 134393002 268786004 537572008 1075144016 2150288032