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2244204288 = 28327511297
BaseRepresentation
bin1000010111000011…
…1101011100000000
312210101212101112100
42011300331130000
514044004014123
61010405030400
7106420264434
oct20560753400
95711771470
102244204288
11a51881997
125276b5400
13299c3aa41
141740a69c4
15d204e643
hex85c3d700

2244204288 has 108 divisors (see below), whose sum is σ = 6484205728. Its totient is φ = 746496000.

The previous prime is 2244204241. The next prime is 2244204293. The reversal of 2244204288 is 8824024422.

It is a happy number.

2244204288 is a `hidden beast` number, since 224 + 4 + 2 + 0 + 428 + 8 = 666.

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 11 ways as a sum of consecutive naturals, for example, 1729656 + ... + 1730952.

Almost surely, 22244204288 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 2244204288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242102864).

2244204288 is an abundant number, since it is smaller than the sum of its proper divisors (4240001440).

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

2244204288 is a wasteful number, since it uses less digits than its factorization.

2244204288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 2244204288 is about 47373.0333417652. The cubic root of 2244204288 is about 1309.2446139388.

The spelling of 2244204288 in words is "two billion, two hundred forty-four million, two hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 751 768 1152 1297 1502 2253 2304 2594 3004 3891 4506 5188 6008 6759 7782 9012 10376 11673 12016 13518 15564 18024 20752 23346 24032 27036 31128 36048 41504 46692 48064 54072 62256 72096 83008 93384 96128 108144 124512 144192 166016 186768 192256 216288 249024 288384 332032 373536 432576 498048 576768 747072 865152 974047 996096 1494144 1730304 1948094 2922141 2988288 3896188 5844282 7792376 8766423 11688564 15584752 17532846 23377128 31169504 35065692 46754256 62339008 70131384 93508512 124678016 140262768 187017024 249356032 280525536 374034048 561051072 748068096 1122102144 2244204288