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2228634312 = 2331723534481
BaseRepresentation
bin1000010011010110…
…0100001011001000
312202022120100112120
42010311210023020
514031012244222
61005051211240
7106141036062
oct20465441310
95668510476
102228634312
11a44007a43
12522446b20
13296948b38
14171db2732
15d09c615c
hex84d642c8

2228634312 has 128 divisors (see below), whose sum is σ = 6273365760. Its totient is φ = 656015360.

The previous prime is 2228634307. The next prime is 2228634337. The reversal of 2228634312 is 2134368222.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495112 + ... + 499592.

It is an arithmetic number, because the mean of its divisors is an integer number (49010670).

Almost surely, 22228634312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228634312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136682880).

2228634312 is an abundant number, since it is smaller than the sum of its proper divisors (4044731448).

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

2228634312 is a wasteful number, since it uses less digits than its factorization.

2228634312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583 (or 4579 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 2228634312 is about 47208.4135721589. The cubic root of 2228634312 is about 1306.2097992649.

The spelling of 2228634312 in words is "two billion, two hundred twenty-eight million, six hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 53 68 69 92 102 106 136 138 159 184 204 212 276 318 391 408 424 552 636 782 901 1173 1219 1272 1564 1802 2346 2438 2703 3128 3604 3657 4481 4692 4876 5406 7208 7314 8962 9384 9752 10812 13443 14628 17924 20723 21624 26886 29256 35848 41446 53772 62169 76177 82892 103063 107544 124338 152354 165784 206126 228531 237493 248676 304708 309189 412252 457062 474986 497352 609416 618378 712479 824504 914124 949972 1236756 1424958 1752071 1828248 1899944 2473512 2849916 3504142 4037381 5256213 5462339 5699832 7008284 8074762 10512426 10924678 12112143 14016568 16149524 16387017 21024852 21849356 24224286 32299048 32774034 42049704 43698712 48448572 65548068 92859763 96897144 131096136 185719526 278579289 371439052 557158578 742878104 1114317156 2228634312