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2244034944 = 27323122027
BaseRepresentation
bin1000010111000001…
…0100000110000000
312210101112210020100
42011300110012000
514043433104234
61010401242400
7106415660634
oct20560240600
95711483210
102244034944
11a51776738
12527633400
13299bab938
14174060dc4
15d2019399
hex85c14180

2244034944 has 144 divisors (see below), whose sum is σ = 6675760260. Its totient is φ = 723525120.

The previous prime is 2244034943. The next prime is 2244034963. The reversal of 2244034944 is 4494304422.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 2244034899 and 2244034908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244034943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1106059 + ... + 1108085.

Almost surely, 22244034944 is an apocalyptic number.

2244034944 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 2244034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337880130).

2244034944 is an abundant number, since it is smaller than the sum of its proper divisors (4431725316).

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

2244034944 is a wasteful number, since it uses less digits than its factorization.

2244034944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2244034944 is about 47371.2459620813. The cubic root of 2244034944 is about 1309.2116819552.

The spelling of 2244034944 in words is "two billion, two hundred forty-four million, thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 961 992 1116 1152 1488 1922 1984 2027 2232 2883 2976 3844 3968 4054 4464 5766 5952 6081 7688 8108 8649 8928 11532 11904 12162 15376 16216 17298 17856 18243 23064 24324 30752 32432 34596 35712 36486 46128 48648 61504 62837 64864 69192 72972 92256 97296 123008 125674 129728 138384 145944 184512 188511 194592 251348 259456 276768 291888 369024 377022 389184 502696 553536 565533 583776 754044 778368 1005392 1107072 1131066 1167552 1508088 1947947 2010784 2262132 2335104 3016176 3895894 4021568 4524264 5843841 6032352 7791788 8043136 9048528 11687682 12064704 15583576 17531523 18097056 23375364 24129408 31167152 35063046 36194112 46750728 62334304 70126092 72388224 93501456 124668608 140252184 187002912 249337216 280504368 374005824 561008736 748011648 1122017472 2244034944