Search a number
-
+
2242273208 = 237172355329
BaseRepresentation
bin1000010110100110…
…0101111110111000
312210021020021120212
42011221211332320
514043010220313
61010255410252
7106365002450
oct20551457670
95707207525
102242273208
11a5078305a
12526b23988
13299712aa6
14173b22d60
15d1cbc3a8
hex85a65fb8

2242273208 has 32 divisors (see below), whose sum is σ = 5087512800. Its totient is φ = 904445952.

The previous prime is 2242273207. The next prime is 2242273213. The reversal of 2242273208 is 8023722422.

It is a super-2 number, since 2×22422732082 = 10055578278629222528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242273207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1176713 + ... + 1178616.

It is an arithmetic number, because the mean of its divisors is an integer number (158984775).

Almost surely, 22242273208 is an apocalyptic number.

2242273208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2242273208 is an abundant number, since it is smaller than the sum of its proper divisors (2845239592).

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

2242273208 is a wasteful number, since it uses less digits than its factorization.

2242273208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355359 (or 2355355 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 2242273208 is about 47352.6473177583. The cubic root of 2242273208 is about 1308.8689824190.

The spelling of 2242273208 in words is "two billion, two hundred forty-two million, two hundred seventy-three thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 2355329 4710658 9421316 16487303 18842632 32974606 40040593 65949212 80081186 131898424 160162372 280284151 320324744 560568302 1121136604 2242273208