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4422002244 = 22311299711909
BaseRepresentation
bin1000001111001001…
…00110011001000100
3102102011202222200220
410013210212121010
533024013032434
62010442504340
7214403253552
oct40744463104
912364688626
104422002244
11196a117810
12a34b050b0
1355619789a
142dd404bd2
151ad332d49
hex107926644

4422002244 has 96 divisors (see below), whose sum is σ = 11765174400. Its totient is φ = 1280348160.

The previous prime is 4422002231. The next prime is 4422002251.

4422002244 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

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 31 ways as a sum of consecutive naturals, for example, 365362 + ... + 377270.

It is an arithmetic number, because the mean of its divisors is an integer number (122553900).

Almost surely, 24422002244 is an apocalyptic number.

4422002244 is a gapful number since it is divisible by the number (44) 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 4422002244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882587200).

4422002244 is an abundant number, since it is smaller than the sum of its proper divisors (7343172156).

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

4422002244 is a wasteful number, since it uses less digits than its factorization.

4422002244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12053 (or 12051 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4422002244 is about 66498.1371468404. The cubic root of 4422002244 is about 1641.3693505648.

It can be divided in two parts, 442200 and 2244, that added together give a palindrome (444444).

The spelling of 4422002244 in words is "four billion, four hundred twenty-two million, two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 97 116 132 174 194 291 319 348 388 582 638 957 1067 1164 1276 1914 2134 2813 3201 3828 4268 5626 6402 8439 11252 11909 12804 16878 23818 30943 33756 35727 47636 61886 71454 92829 123772 130999 142908 185658 261998 345361 371316 392997 523996 690722 785994 1036083 1155173 1381444 1571988 2072166 2310346 3465519 3798971 4144332 4620692 6931038 7597942 11396913 12706903 13862076 15195884 22793826 25413806 33500017 38120709 45587652 50827612 67000034 76241418 100500051 134000068 152482836 201000102 368500187 402000204 737000374 1105500561 1474000748 2211001122 4422002244