Search a number
-
+
2122029570 = 235616731723
BaseRepresentation
bin111111001111011…
…1001101000000010
312110212222021022210
41332132321220002
513321214421240
6550322242550
7103404645063
oct17636715002
95425867283
102122029570
11999915251
124b27b6456
1327a831ccb
14161b8256a
15c6469780
hex7e7b9a02

2122029570 has 64 divisors (see below), whose sum is σ = 5187060864. Its totient is φ = 555448320.

The previous prime is 2122029563. The next prime is 2122029593. The reversal of 2122029570 is 759202212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230729 + ... + 1232451.

It is an arithmetic number, because the mean of its divisors is an integer number (81047826).

Almost surely, 22122029570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122029570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593530432).

2122029570 is an abundant number, since it is smaller than the sum of its proper divisors (3065031294).

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

2122029570 is a wasteful number, since it uses less digits than its factorization.

2122029570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2122029570 is about 46065.4921823267. The cubic root of 2122029570 is about 1285.0414719112.

The spelling of 2122029570 in words is "two billion, one hundred twenty-two million, twenty-nine thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 673 915 1346 1723 1830 2019 3365 3446 4038 5169 6730 8615 10095 10338 17230 20190 25845 41053 51690 82106 105103 123159 205265 210206 246318 315309 410530 525515 615795 630618 1051030 1159579 1231590 1576545 2319158 3153090 3478737 5797895 6957474 11595790 17393685 34787370 70734319 141468638 212202957 353671595 424405914 707343190 1061014785 2122029570