Search a number
-
+
2264310272 = 2971135591
BaseRepresentation
bin1000011011110110…
…1010001000000000
312211210200212202102
42012331222020000
514114130412042
61012404005532
7110053214450
oct20675521000
95753625672
102264310272
11a62164904
125323908a8
132a115a483
14176a1bd60
15d3bc1b32
hex86f6a200

2264310272 has 80 divisors (see below), whose sum is σ = 5217201792. Its totient is φ = 961658880.

The previous prime is 2264310271. The next prime is 2264310281. The reversal of 2264310272 is 2720134622.

It is not an unprimeable number, because it can be changed into a prime (2264310271) 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, 402197 + ... + 407787.

Almost surely, 22264310272 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 2264310272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608600896).

2264310272 is an abundant number, since it is smaller than the sum of its proper divisors (2952891520).

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

2264310272 is an equidigital number, since it uses as much as digits as its factorization.

2264310272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2264310272 is about 47584.7693280108. The cubic root of 2264310272 is about 1313.1428669538.

Adding to 2264310272 its reverse (2720134622), we get a palindrome (4984444894).

The spelling of 2264310272 in words is "two billion, two hundred sixty-four million, three hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 256 448 452 512 791 896 904 1582 1792 1808 3164 3584 3616 5591 6328 7232 11182 12656 14464 22364 25312 28928 39137 44728 50624 57856 78274 89456 101248 156548 178912 202496 313096 357824 404992 626192 631783 715648 1252384 1263566 1431296 2504768 2527132 2862592 4422481 5009536 5054264 8844962 10019072 10108528 17689924 20038144 20217056 35379848 40434112 70759696 80868224 141519392 161736448 283038784 323472896 566077568 1132155136 2264310272