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2214541312 = 2111763607
BaseRepresentation
bin1000001111111111…
…0011100000000000
312201100001100120121
42003333303200000
514013410310222
61003425150024
7105610201444
oct20377634000
95640040517
102214541312
11a37061735
1251978b314
13293a53299
14170184824
15ce6405c7
hex83ff3800

2214541312 has 48 divisors (see below), whose sum is σ = 4688545680. Its totient is φ = 1042120704.

The previous prime is 2214541289. The next prime is 2214541393. The reversal of 2214541312 is 2131454122.

It is a super-4 number, since 4×22145413124 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3013 + ... + 66619.

It is an arithmetic number, because the mean of its divisors is an integer number (97678035).

Almost surely, 22214541312 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 2214541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344272840).

2214541312 is an abundant number, since it is smaller than the sum of its proper divisors (2474004368).

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

2214541312 is an equidigital number, since it uses as much as digits as its factorization.

2214541312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63646 (or 63626 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 2214541312 is about 47058.9132046204. The cubic root of 2214541312 is about 1303.4506574888.

Adding to 2214541312 its reverse (2131454122), we get a palindrome (4345995434).

The spelling of 2214541312 in words is "two billion, two hundred fourteen million, five hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4352 8704 17408 34816 63607 127214 254428 508856 1017712 1081319 2035424 2162638 4070848 4325276 8141696 8650552 16283392 17301104 32566784 34602208 65133568 69204416 130267136 138408832 276817664 553635328 1107270656 2214541312