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2244434004 = 22322913116411
BaseRepresentation
bin1000010111000111…
…0101100001010100
312210102022001122100
42011301311201110
514044033342004
61010414002100
7106422242241
oct20561654124
95712261570
102244434004
11a51a1953a
125277a6330
13299cbb477
141741265c8
15d2097739
hex85c75854

2244434004 has 72 divisors (see below), whose sum is σ = 5914228320. Its totient is φ = 716788800.

The previous prime is 2244433991. The next prime is 2244434009. The reversal of 2244434004 is 4004344422.

It is a happy number.

2244434004 is a `hidden beast` number, since 224 + 4 + 434 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×22444340042 = 10074967996622944032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244434009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128559 + ... + 144969.

It is an arithmetic number, because the mean of its divisors is an integer number (82142060).

Almost surely, 22244434004 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 2244434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957114160).

2244434004 is an abundant number, since it is smaller than the sum of its proper divisors (3669794316).

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

2244434004 is a wasteful number, since it uses less digits than its factorization.

2244434004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16581 (or 16576 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2244434004 is about 47375.4578236454. The cubic root of 2244434004 is about 1309.2892836949.

Adding to 2244434004 its reverse (4004344422), we get a palindrome (6248778426).

The spelling of 2244434004 in words is "two billion, two hundred forty-four million, four hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 131 174 261 262 348 393 522 524 786 1044 1179 1572 2358 3799 4716 7598 11397 15196 16411 22794 32822 34191 45588 49233 65644 68382 98466 136764 147699 196932 295398 475919 590796 951838 1427757 1903676 2149841 2855514 4283271 4299682 5711028 6449523 8566542 8599364 12899046 17133084 19348569 25798092 38697138 62345389 77394276 124690778 187036167 249381556 374072334 561108501 748144668 1122217002 2244434004