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2283434112 = 273232291129
BaseRepresentation
bin1000100000011010…
…0111000010000000
312220010200110201210
42020012213002000
514134024342422
61014325530120
7110404604211
oct21006470200
95803613653
102283434112
11a71a36933
12538873940
132a50c4b5b
14179399408
15d56ed10c
hex881a7080

2283434112 has 128 divisors (see below), whose sum is σ = 6362352000. Its totient is φ = 724230144.

The previous prime is 2283434099. The next prime is 2283434141. The reversal of 2283434112 is 2114343822.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2283434112.

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, 2021964 + ... + 2023092.

It is an arithmetic number, because the mean of its divisors is an integer number (49705875).

Almost surely, 22283434112 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 2283434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181176000).

2283434112 is an abundant number, since it is smaller than the sum of its proper divisors (4078917888).

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

2283434112 is a wasteful number, since it uses less digits than its factorization.

2283434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1386 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 2283434112 is about 47785.2917956980. The cubic root of 2283434112 is about 1316.8293414631.

Adding to 2283434112 its reverse (2114343822), we get a palindrome (4397777934).

The spelling of 2283434112 in words is "two billion, two hundred eighty-three million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 229 276 368 384 458 552 687 736 916 1104 1129 1374 1472 1832 2208 2258 2748 2944 3387 3664 4416 4516 5267 5496 6774 7328 8832 9032 10534 10992 13548 14656 15801 18064 21068 21984 25967 27096 29312 31602 36128 42136 43968 51934 54192 63204 72256 77901 84272 87936 103868 108384 126408 144512 155802 168544 207736 216768 252816 258541 311604 337088 415472 433536 505632 517082 623208 674176 775623 830944 1011264 1034164 1246416 1551246 1661888 2022528 2068328 2492832 3102492 3323776 4136656 4985664 5946443 6204984 8273312 9971328 11892886 12409968 16546624 17839329 23785772 24819936 33093248 35678658 47571544 49639872 71357316 95143088 99279744 142714632 190286176 285429264 380572352 570858528 761144704 1141717056 2283434112