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2242548728 = 237431277333
BaseRepresentation
bin1000010110101010…
…1001001111111000
312210021202021112022
42011222221033320
514043043024403
61010305334012
7106400230640
oct20552511770
95707667468
102242548728
11a50951062
12527037308
132997ab314
14173b95520
15d1d23d38
hex85aa93f8

2242548728 has 64 divisors (see below), whose sum is σ = 4956610560. Its totient is φ = 931222656.

The previous prime is 2242548713. The next prime is 2242548811. The reversal of 2242548728 is 8278452422.

2242548728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302150 + ... + 309482.

It is an arithmetic number, because the mean of its divisors is an integer number (77447040).

Almost surely, 22242548728 is an apocalyptic number.

2242548728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242548728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478305280).

2242548728 is an abundant number, since it is smaller than the sum of its proper divisors (2714061832).

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

2242548728 is a wasteful number, since it uses less digits than its factorization.

2242548728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7516 (or 7512 counting only the distinct ones).

The product of its digits is 573440, while the sum is 44.

The square root of 2242548728 is about 47355.5564638407. The cubic root of 2242548728 is about 1308.9225894477.

The spelling of 2242548728 in words is "two billion, two hundred forty-two million, five hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 43 56 86 127 172 254 301 344 508 602 889 1016 1204 1778 2408 3556 5461 7112 7333 10922 14666 21844 29332 38227 43688 51331 58664 76454 102662 152908 205324 305816 315319 410648 630638 931291 1261276 1862582 2207233 2522552 3725164 4414466 6519037 7450328 8828932 13038074 17657864 26076148 40045513 52152296 80091026 160182052 280318591 320364104 560637182 1121274364 2242548728