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2202114016 = 25314435011
BaseRepresentation
bin1000001101000001…
…1001011111100000
312200110122222112101
42003100121133200
514002220122031
61002302540144
7105366442324
oct20320313740
95613588471
102202114016
11a30043943
12515597654
132912c195b
1416c66b984
15cd4d8361
hex834197e0

2202114016 has 48 divisors (see below), whose sum is σ = 4486261248. Its totient is φ = 1062921600.

The previous prime is 2202114011. The next prime is 2202114049. The reversal of 2202114016 is 6104112022.

It is a super-2 number, since 2×22021140162 = 9698612278927296512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2202113984 and 2202114002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202114011) 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 7 ways as a sum of consecutive naturals, for example, 436951 + ... + 441961.

It is an arithmetic number, because the mean of its divisors is an integer number (93463776).

Almost surely, 22202114016 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 2202114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243130624).

2202114016 is an abundant number, since it is smaller than the sum of its proper divisors (2284147232).

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

2202114016 is a wasteful number, since it uses less digits than its factorization.

2202114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2202114016 is about 46926.6876734338. The cubic root of 2202114016 is about 1301.0079000222.

Adding to 2202114016 its reverse (6104112022), we get a palindrome (8306226038).

The spelling of 2202114016 in words is "two billion, two hundred two million, one hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 248 443 496 886 992 1772 3544 5011 7088 10022 13733 14176 20044 27466 40088 54932 80176 109864 155341 160352 219728 310682 439456 621364 1242728 2219873 2485456 4439746 4970912 8879492 17758984 35517968 68816063 71035936 137632126 275264252 550528504 1101057008 2202114016