Search a number
-
+
2241957114 = 232296176961
BaseRepresentation
bin1000010110100001…
…1000110011111010
312210020122012222200
42011220120303322
514042420111424
61010244531030
7106362215055
oct20550306372
95706565880
102241957114
11a50587621
125269b0a76
13299631c57
14173a7da9c
15d1c588c9
hex85a18cfa

2241957114 has 48 divisors (see below), whose sum is σ = 5033943720. Its totient is φ = 720276480.

The previous prime is 2241957071. The next prime is 2241957119. The reversal of 2241957114 is 4117591422.

It can be written as a sum of positive squares in 4 ways, for example, as 1655106489 + 586850625 = 40683^2 + 24225^2 .

It is not an unprimeable number, because it can be changed into a prime (2241957119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318594 + ... + 325554.

Almost surely, 22241957114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241957114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516971860).

2241957114 is an abundant number, since it is smaller than the sum of its proper divisors (2791986606).

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

2241957114 is a wasteful number, since it uses less digits than its factorization.

2241957114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7612 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2241957114 is about 47349.3095409004. The cubic root of 2241957114 is about 1308.8074756301.

The spelling of 2241957114 in words is "two billion, two hundred forty-one million, nine hundred fifty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 617 1234 1851 3702 5553 6961 11106 13922 17893 20883 35786 41766 53679 62649 107358 125298 161037 201869 322074 403738 605607 1211214 1816821 3633642 4294937 8589874 12884811 25769622 38654433 77308866 124553173 249106346 373659519 747319038 1120978557 2241957114