Search a number
-
+
2218152144 = 243133554731
BaseRepresentation
bin1000010000110110…
…0101000011010000
312201120211210201010
42010031211003100
514020321332034
61004034410520
7105652660605
oct20415450320
95646753633
102218152144
11a390a859a
1251aa30a40
13294718980
141708446ac
15ceb053e9
hex843650d0

2218152144 has 40 divisors (see below), whose sum is σ = 6171014752. Its totient is φ = 682508160.

The previous prime is 2218152127. The next prime is 2218152161. The reversal of 2218152144 is 4412518122.

It is an interprime number because it is at equal distance from previous prime (2218152127) and next prime (2218152161).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1776742 + ... + 1777989.

Almost surely, 22218152144 is an apocalyptic number.

2218152144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2218152144 is an abundant number, since it is smaller than the sum of its proper divisors (3952862608).

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

2218152144 is a wasteful number, since it uses less digits than its factorization.

2218152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554755 (or 3554749 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 2218152144 is about 47097.2625956116. The cubic root of 2218152144 is about 1304.1587026285.

The spelling of 2218152144 in words is "two billion, two hundred eighteen million, one hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3554731 7109462 10664193 14218924 21328386 28437848 42656772 46211503 56875696 85313544 92423006 138634509 170627088 184846012 277269018 369692024 554538036 739384048 1109076072 2218152144