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1090221024 = 2534725397
BaseRepresentation
bin100000011111011…
…0111001111100000
32210222102222002110
41000332313033200
54213044033044
6300103115320
736005503644
oct10076671740
92728388073
101090221024
1150a446212
12265142b40
13144b388c9
14a4b14c24
1565aa36b9
hex40fb73e0

1090221024 has 144 divisors (see below), whose sum is σ = 3009899088. Its totient is φ = 345366528.

The previous prime is 1090221017. The next prime is 1090221043. The reversal of 1090221024 is 4201220901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11239344 + ... + 11239440.

It is an arithmetic number, because the mean of its divisors is an integer number (20902077).

Almost surely, 21090221024 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 1090221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504949544).

1090221024 is an abundant number, since it is smaller than the sum of its proper divisors (1919678064).

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

1090221024 is an equidigital number, since it uses as much as digits as its factorization.

1090221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1090221024 is about 33018.4951807317. The cubic root of 1090221024 is about 1029.2120230888.

Adding to 1090221024 its reverse (4201220901), we get a palindrome (5291441925).

The spelling of 1090221024 in words is "one billion, ninety million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 53 94 96 97 106 141 159 188 194 212 282 291 318 376 388 424 564 582 636 752 776 848 1128 1164 1272 1504 1552 1696 2209 2256 2328 2491 2544 3104 4418 4512 4559 4656 4982 5088 5141 6627 7473 8836 9118 9312 9964 10282 13254 13677 14946 15423 17672 18236 19928 20564 26508 27354 29892 30846 35344 36472 39856 41128 53016 54708 59784 61692 70688 72944 79712 82256 106032 109416 117077 119568 123384 145888 164512 212064 214273 218832 234154 239136 241627 246768 351231 428546 437664 468308 483254 493536 642819 702462 724881 857092 936616 966508 1285638 1404924 1449762 1714184 1873232 1933016 2571276 2809848 2899524 3428368 3746464 3866032 5142552 5619696 5799048 6856736 7732064 10285104 11239392 11356469 11598096 20570208 22712938 23196192 34069407 45425876 68138814 90851752 136277628 181703504 272555256 363407008 545110512 1090221024