Search a number
-
+
2210216720 = 245113244493
BaseRepresentation
bin1000001110111101…
…0011101100010000
312201000220122100112
42003233103230100
514011303413340
61003152340452
7105525350345
oct20357235420
95630818315
102210216720
11a34678598
12518244728
13292b9aa5a
1416d77a7cc
15ce089065
hex83bd3b10

2210216720 has 40 divisors (see below), whose sum is σ = 5184250776. Its totient is φ = 876259328.

The previous prime is 2210216713. The next prime is 2210216737. The reversal of 2210216720 is 276120122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 207475216 + 2002741504 = 14404^2 + 44752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 113207 + ... + 131286.

Almost surely, 22210216720 is an apocalyptic number.

2210216720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210216720 is an abundant number, since it is smaller than the sum of its proper divisors (2974034056).

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

2210216720 is a wasteful number, since it uses less digits than its factorization.

2210216720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244619 (or 244613 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 2210216720 is about 47012.9420479085. The cubic root of 2210216720 is about 1302.6016380986.

Adding to 2210216720 its reverse (276120122), we get a palindrome (2486336842).

The spelling of 2210216720 in words is "two billion, two hundred ten million, two hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 244493 488986 977972 1222465 1955944 2444930 3911888 4889860 9779720 19559440 27627709 55255418 110510836 138138545 221021672 276277090 442043344 552554180 1105108360 2210216720