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990223488 = 27331811583
BaseRepresentation
bin111011000001011…
…001110010000000
32120000021120021000
4323001121302000
54011444122423
6242131532000
733352521642
oct7301316200
92500246230
10990223488
11468a56621
1223775a000
1312a1c6277
1495724892
155bdee843
hex3b059c80

990223488 has 128 divisors (see below), whose sum is σ = 2940537600. Its totient is φ = 328043520.

The previous prime is 990223477. The next prime is 990223499. The reversal of 990223488 is 884322099.

It is an interprime number because it is at equal distance from previous prime (990223477) and next prime (990223499).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9902234882 = 1961085112373772288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624745 + ... + 626327.

It is an arithmetic number, because the mean of its divisors is an integer number (22972950).

Almost surely, 2990223488 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 990223488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470268800).

990223488 is an abundant number, since it is smaller than the sum of its proper divisors (1950314112).

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

990223488 is a wasteful number, since it uses less digits than its factorization.

990223488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 990223488 is about 31467.8167021482. The cubic root of 990223488 is about 996.7304845857.

The spelling of 990223488 in words is "nine hundred ninety million, two hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 181 192 216 288 362 384 432 543 576 724 864 1086 1152 1448 1583 1629 1728 2172 2896 3166 3258 3456 4344 4749 4887 5792 6332 6516 8688 9498 9774 11584 12664 13032 14247 17376 18996 19548 23168 25328 26064 28494 34752 37992 39096 42741 50656 52128 56988 69504 75984 78192 85482 101312 104256 113976 151968 156384 170964 202624 208512 227952 286523 303936 312768 341928 455904 573046 607872 625536 683856 859569 911808 1146092 1367712 1719138 1823616 2292184 2578707 2735424 3438276 4584368 5157414 5470848 6876552 7736121 9168736 10314828 13753104 15472242 18337472 20629656 27506208 30944484 36674944 41259312 55012416 61888968 82518624 110024832 123777936 165037248 247555872 330074496 495111744 990223488