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2229406704 = 24327345137
BaseRepresentation
bin1000010011100010…
…0000101111110000
312202101000121001200
42010320200233300
514031212003304
61005115531200
7106150434000
oct20470405760
95671017050
102229406704
11a44495288
12522759b00
13296b59585
14172134000
15d0ac9e39
hex84e20bf0

2229406704 has 120 divisors (see below), whose sum is σ = 7276245600. Its totient is φ = 636959232.

The previous prime is 2229406691. The next prime is 2229406727. The reversal of 2229406704 is 4076049222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26824 + ... + 71960.

It is an arithmetic number, because the mean of its divisors is an integer number (60635380).

Almost surely, 22229406704 is an apocalyptic number.

2229406704 is a gapful number since it is divisible by the number (24) 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 2229406704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638122800).

2229406704 is an abundant number, since it is smaller than the sum of its proper divisors (5046838896).

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

2229406704 is a wasteful number, since it uses less digits than its factorization.

2229406704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45172 (or 45149 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2229406704 is about 47216.5935238873. The cubic root of 2229406704 is about 1306.3606823210.

The spelling of 2229406704 in words is "two billion, two hundred twenty-nine million, four hundred six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5488 6174 7056 8232 12348 16464 24696 45137 49392 90274 135411 180548 270822 315959 361096 406233 541644 631918 722192 812466 947877 1083288 1263836 1624932 1895754 2166576 2211713 2527672 2843631 3249864 3791508 4423426 5055344 5687262 6499728 6635139 7583016 8846852 11374524 13270278 15166032 15481991 17693704 19905417 22749048 26540556 30963982 35387408 39810834 45498096 46445973 53081112 61927964 79621668 92891946 106162224 123855928 139337919 159243336 185783892 247711856 278675838 318486672 371567784 557351676 743135568 1114703352 2229406704