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1120220088 = 23313191011871
BaseRepresentation
bin100001011000101…
…0011001110111000
32220001220002001220
41002301103032320
54243234020323
6303054112040
736521466531
oct10261231670
92801802056
101120220088
11525375a29
122731ab620
1314b110330
14a8ac3688
156852c0e3
hex42c533b8

1120220088 has 128 divisors (see below), whose sum is σ = 3207859200. Its totient is φ = 323136000.

The previous prime is 1120220063. The next prime is 1120220089. The reversal of 1120220088 is 8800220211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120220089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597793 + ... + 599663.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 21120220088 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 1120220088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

1120220088 is an abundant number, since it is smaller than the sum of its proper divisors (2087639112).

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

1120220088 is a wasteful number, since it uses less digits than its factorization.

1120220088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1120220088 is about 33469.6890932677. The cubic root of 1120220088 is about 1038.5668400603.

Adding to 1120220088 its reverse (8800220211), we get a palindrome (9920440299).

The spelling of 1120220088 in words is "one billion, one hundred twenty million, two hundred twenty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 101 104 114 152 156 202 228 247 303 312 404 456 494 606 741 808 988 1212 1313 1482 1871 1919 1976 2424 2626 2964 3742 3838 3939 5252 5613 5757 5928 7484 7676 7878 10504 11226 11514 14968 15352 15756 22452 23028 24323 24947 31512 35549 44904 46056 48646 49894 71098 72969 74841 97292 99788 106647 142196 145938 149682 188971 194584 199576 213294 284392 291876 299364 377942 426588 462137 566913 583752 598728 755884 853176 924274 1133826 1386411 1511768 1848548 2267652 2456623 2772822 3590449 3697096 4535304 4913246 5545644 7180898 7369869 9826492 10771347 11091288 14361796 14739738 19652984 21542694 28723592 29479476 43085388 46675837 58958952 86170776 93351674 140027511 186703348 280055022 373406696 560110044 1120220088