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2198076912 = 24354113789
BaseRepresentation
bin1000001100000011…
…1111110111110000
312200012001212200000
42003000333313300
514000201430122
61002040230000
7105320226333
oct20300776760
95605055600
102198076912
11a28836799
1251416b300
1329050a235
1416bcda61a
15cce8c0ac
hex8303fdf0

2198076912 has 120 divisors (see below), whose sum is σ = 6535467120. Its totient is φ = 714769920.

The previous prime is 2198076901. The next prime is 2198076913. The reversal of 2198076912 is 2196708912.

2198076912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21980769122 = 9663084222134911488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198076913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152514 + ... + 166302.

It is an arithmetic number, because the mean of its divisors is an integer number (54462226).

Almost surely, 22198076912 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 2198076912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267733560).

2198076912 is an abundant number, since it is smaller than the sum of its proper divisors (4337390208).

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

2198076912 is a wasteful number, since it uses less digits than its factorization.

2198076912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13853 (or 13835 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2198076912 is about 46883.6529293527. The cubic root of 2198076912 is about 1300.2123739822.

The spelling of 2198076912 in words is "two billion, one hundred ninety-eight million, seventy-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 243 246 324 328 369 432 486 492 648 656 738 972 984 1107 1296 1476 1944 1968 2214 2952 3321 3888 4428 5904 6642 8856 9963 13284 13789 17712 19926 26568 27578 39852 41367 53136 55156 79704 82734 110312 124101 159408 165468 220624 248202 330936 372303 496404 565349 661872 744606 992808 1116909 1130698 1489212 1696047 1985616 2233818 2261396 2978424 3350727 3392094 4467636 4522792 5088141 5956848 6701454 6784188 8935272 9045584 10176282 13402908 13568376 15264423 17870544 20352564 26805816 27136752 30528846 40705128 45793269 53611632 61057692 81410256 91586538 122115384 137379807 183173076 244230768 274759614 366346152 549519228 732692304 1099038456 2198076912