Search a number
-
+
2022042500 = 22544012017
BaseRepresentation
bin111100010000101…
…1110101110000100
312012220211101211222
41320201132232010
513120120330000
6532351215512
7101052035432
oct17041365604
95186741758
102022042500
11948432505
12485217598
13262bc436a
14152795d52
15bc7b8a85
hex7885eb84

2022042500 has 60 divisors (see below), whose sum is σ = 4435027212. Its totient is φ = 806400000.

The previous prime is 2022042499. The next prime is 2022042527. The reversal of 2022042500 is 52402202.

It can be written as a sum of positive squares in 10 ways, for example, as 526518916 + 1495523584 = 22946^2 + 38672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1001492 + ... + 1003508.

Almost surely, 22022042500 is an apocalyptic number.

2022042500 is a gapful number since it is divisible by the number (20) 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 2022042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217513606).

2022042500 is an abundant number, since it is smaller than the sum of its proper divisors (2412984712).

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

2022042500 is a wasteful number, since it uses less digits than its factorization.

2022042500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2022042500 is about 44967.1268817566. The cubic root of 2022042500 is about 1264.5327837622.

Adding to 2022042500 its reverse (52402202), we get a palindrome (2074444702).

The spelling of 2022042500 in words is "two billion, twenty-two million, forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 401 500 625 802 1250 1604 2005 2017 2500 4010 4034 8020 8068 10025 10085 20050 20170 40100 40340 50125 50425 100250 100850 200500 201700 250625 252125 501250 504250 808817 1002500 1008500 1260625 1617634 2521250 3235268 4044085 5042500 8088170 16176340 20220425 40440850 80881700 101102125 202204250 404408500 505510625 1011021250 2022042500