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4204054224 = 24345695701
BaseRepresentation
bin1111101010010100…
…1100011011010000
3101211222200002020000
43322211030123100
532102214213344
61533055250000
7206115604566
oct37245143320
911758602200
104204054224
111868096187
12993b19900
1351cc98166
142bc4ada36
15199130a69
hexfa94c6d0

4204054224 has 100 divisors (see below), whose sum is σ = 12191275140. Its totient is φ = 1398643200.

The previous prime is 4204054213. The next prime is 4204054249. The reversal of 4204054224 is 4224504024.

4204054224 is digitally balanced in base 2 and base 4, because in such bases 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 2139987600 + 2064066624 = 46260^2 + 45432^2 .

It is a super-3 number, since 3×42040542243 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 734574 + ... + 740274.

Almost surely, 24204054224 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 4204054224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095637570).

4204054224 is an abundant number, since it is smaller than the sum of its proper divisors (7987220916).

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

4204054224 is a wasteful number, since it uses less digits than its factorization.

4204054224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 4204054224 is about 64838.6784566126. The cubic root of 4204054224 is about 1613.9476220202.

Adding to 4204054224 its reverse (4224504024), we get a palindrome (8428558248).

The spelling of 4204054224 in words is "four billion, two hundred four million, fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 569 648 1138 1296 1707 2276 3414 4552 5121 5701 6828 9104 10242 11402 13656 15363 17103 20484 22804 27312 30726 34206 40968 45608 46089 51309 61452 68412 81936 91216 92178 102618 122904 136824 153927 184356 205236 245808 273648 307854 368712 410472 461781 615708 737424 820944 923562 1231416 1847124 2462832 3243869 3694248 6487738 7388496 9731607 12975476 19463214 25950952 29194821 38926428 51901904 58389642 77852856 87584463 116779284 155705712 175168926 233558568 262753389 350337852 467117136 525506778 700675704 1051013556 1401351408 2102027112 4204054224