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2228357418 = 237225130197
BaseRepresentation
bin1000010011010010…
…0000100100101010
312202022001021201020
42010310200210222
514030424414133
61005041233310
7106135503600
oct20464404452
95668037636
102228357418
11a43938a01
12522332836
1329687cab1
14171d3d870
15d096e0b3
hex84d2092a

2228357418 has 48 divisors (see below), whose sum is σ = 5205168864. Its totient is φ = 634116000.

The previous prime is 2228357413. The next prime is 2228357441. The reversal of 2228357418 is 8147538222.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2228357418.

It is not an unprimeable number, because it can be changed into a prime (2228357413) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58696 + ... + 88892.

It is an arithmetic number, because the mean of its divisors is an integer number (108441018).

Almost surely, 22228357418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228357418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602584432).

2228357418 is an abundant number, since it is smaller than the sum of its proper divisors (2976811446).

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

2228357418 is a wasteful number, since it uses less digits than its factorization.

2228357418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30467 (or 30460 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 2228357418 is about 47205.4808046693. The cubic root of 2228357418 is about 1306.1557008672.

The spelling of 2228357418 in words is "two billion, two hundred twenty-eight million, three hundred fifty-seven thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 251 294 502 753 1506 1757 3514 5271 10542 12299 24598 30197 36897 60394 73794 90591 181182 211379 422758 634137 1268274 1479653 2959306 4438959 7579447 8877918 15158894 22738341 45476682 53056129 106112258 159168387 318336774 371392903 742785806 1114178709 2228357418