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2246022160 = 24529968113
BaseRepresentation
bin1000010111011111…
…1001010000010000
312210112021202011221
42011313321100100
514044440202120
61010512014424
7106441605364
oct20567712020
95715252157
102246022160
11a52903768
12528231414
1329a4262c5
1417441b2a4
15d22ad0aa
hex85df9410

2246022160 has 40 divisors (see below), whose sum is σ = 5402076120. Its totient is φ = 867428352.

The previous prime is 2246022113. The next prime is 2246022161. The reversal of 2246022160 is 612206422.

It can be written as a sum of positive squares in 4 ways, for example, as 321269776 + 1924752384 = 17924^2 + 43872^2 .

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

It is a super-2 number, since 2×22460221602 = 10089231086422131200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2246022161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481737 + ... + 486376.

It is an arithmetic number, because the mean of its divisors is an integer number (135051903).

Almost surely, 22246022160 is an apocalyptic number.

2246022160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246022160 is an abundant number, since it is smaller than the sum of its proper divisors (3156053960).

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

2246022160 is a wasteful number, since it uses less digits than its factorization.

2246022160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968155 (or 968149 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2246022160 is about 47392.2162385344. The cubic root of 2246022160 is about 1309.5980275136.

Adding to 2246022160 its reverse (612206422), we get a palindrome (2858228582).

The spelling of 2246022160 in words is "two billion, two hundred forty-six million, twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 968113 1936226 3872452 4840565 7744904 9681130 15489808 19362260 28075277 38724520 56150554 77449040 112301108 140376385 224602216 280752770 449204432 561505540 1123011080 2246022160