Search a number
-
+
2220344412 = 22311134992593
BaseRepresentation
bin1000010001010111…
…1100010001011100
312201201222011221020
42010111330101130
514021402010122
61004153404140
7106010421216
oct20425742134
95651864836
102220344412
11a3a365690
1251b709650
13295005780
14170c555b6
15cedd9c5c
hex8457c45c

2220344412 has 96 divisors (see below), whose sum is σ = 6101088000. Its totient is φ = 619591680.

The previous prime is 2220344407. The next prime is 2220344417. The reversal of 2220344412 is 2144430222.

It is an interprime number because it is at equal distance from previous prime (2220344407) and next prime (2220344417).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220344417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854988 + ... + 857580.

It is an arithmetic number, because the mean of its divisors is an integer number (63553000).

Almost surely, 22220344412 is an apocalyptic number.

2220344412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220344412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050544000).

2220344412 is an abundant number, since it is smaller than the sum of its proper divisors (3880743588).

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

2220344412 is a wasteful number, since it uses less digits than its factorization.

2220344412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2220344412 is about 47120.5306846177. The cubic root of 2220344412 is about 1304.5882078835.

Adding to 2220344412 its reverse (2144430222), we get a palindrome (4364774634).

The spelling of 2220344412 in words is "two billion, two hundred twenty million, three hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 499 572 858 998 1497 1716 1996 2593 2994 5186 5489 5988 6487 7779 10372 10978 12974 15558 16467 19461 21956 25948 28523 31116 32934 33709 38922 57046 65868 67418 71357 77844 85569 101127 114092 134836 142714 171138 202254 214071 285428 342276 370799 404508 428142 741598 856284 1112397 1293907 1483196 2224794 2587814 3881721 4449588 5175628 7763442 14232977 15526884 16820791 28465954 33641582 42698931 50462373 56931908 67283164 85397862 100924746 170795724 185028701 201849492 370057402 555086103 740114804 1110172206 2220344412