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2241434112 = 2931997333
BaseRepresentation
bin1000010110011001…
…1001001000000000
312210012122122120020
42011212121020000
514042301342422
61010225413440
7106354606221
oct20546311000
95705578506
102241434112
11a5025a695
1252679a280
132994aab98
14173985248
15d1ba395c
hex85999200

2241434112 has 80 divisors (see below), whose sum is σ = 6002145600. Its totient is φ = 743288832.

The previous prime is 2241434051. The next prime is 2241434119. The reversal of 2241434112 is 2114341422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2241434119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301998 + ... + 309330.

It is an arithmetic number, because the mean of its divisors is an integer number (75026820).

Almost surely, 22241434112 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 2241434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001072800).

2241434112 is an abundant number, since it is smaller than the sum of its proper divisors (3760711488).

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

2241434112 is an equidigital number, since it uses as much as digits as its factorization.

2241434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7553 (or 7537 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2241434112 is about 47343.7864138474. The cubic root of 2241434112 is about 1308.7056951876.

Adding to 2241434112 its reverse (2114341422), we get a palindrome (4355775534).

The spelling of 2241434112 in words is "two billion, two hundred forty-one million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 512 597 768 796 1194 1536 1592 2388 3184 4776 6368 7333 9552 12736 14666 19104 21999 25472 29332 38208 43998 50944 58664 76416 87996 101888 117328 152832 175992 234656 305664 351984 469312 703968 938624 1407936 1459267 1877248 2815872 2918534 3754496 4377801 5631744 5837068 8755602 11263488 11674136 17511204 23348272 35022408 46696544 70044816 93393088 140089632 186786176 280179264 373572352 560358528 747144704 1120717056 2241434112