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2204012340 = 2232512244513
BaseRepresentation
bin1000001101011110…
…1000111100110100
312200121020102112200
42003113220330310
514003211343330
61002411344500
7105421536645
oct20327507464
95617212480
102204012340
11a31120102
12516152130
13291807a1a
1416ca036cc
15cd760a60
hex835e8f34

2204012340 has 36 divisors (see below), whose sum is σ = 6685504644. Its totient is φ = 587736576.

The previous prime is 2204012309. The next prime is 2204012341. The reversal of 2204012340 is 432104022.

2204012340 is a `hidden beast` number, since 220 + 401 + 2 + 3 + 40 = 666.

2204012340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 435473424 + 1768538916 = 20868^2 + 42054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204012341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6122077 + ... + 6122436.

Almost surely, 22204012340 is an apocalyptic number.

2204012340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2204012340 is an abundant number, since it is smaller than the sum of its proper divisors (4481492304).

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

2204012340 is a wasteful number, since it uses less digits than its factorization.

2204012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12244528 (or 12244523 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2204012340 is about 46946.9098024566. The cubic root of 2204012340 is about 1301.3816356186.

Adding to 2204012340 its reverse (432104022), we get a palindrome (2636116362).

The spelling of 2204012340 in words is "two billion, two hundred four million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12244513 24489026 36733539 48978052 61222565 73467078 110200617 122445130 146934156 183667695 220401234 244890260 367335390 440802468 551003085 734670780 1102006170 2204012340