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2198004012 = 22357330977
BaseRepresentation
bin1000001100000010…
…1110000100101100
312200011221011200000
42003000232010230
514000142112022
61002034504300
7105316503651
oct20300560454
95604834600
102198004012
11a28796a46
12514135090
132904b2cb9
1416bcbbc28
15cce756ac
hex8302e12c

2198004012 has 72 divisors (see below), whose sum is σ = 5840963856. Its totient is φ = 722608128.

The previous prime is 2198003987. The next prime is 2198004031. The reversal of 2198004012 is 2104008912.

It is a super-2 number, since 2×21980040122 = 9662443273536192288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55468 + ... + 86444.

It is an arithmetic number, because the mean of its divisors is an integer number (81124498).

Almost surely, 22198004012 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 2198004012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920481928).

2198004012 is an abundant number, since it is smaller than the sum of its proper divisors (3642959844).

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

2198004012 is a wasteful number, since it uses less digits than its factorization.

2198004012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31069 (or 31055 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2198004012 is about 46882.8754664216. The cubic root of 2198004012 is about 1300.1979998219.

The spelling of 2198004012 in words is "two billion, one hundred ninety-eight million, four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 876 972 1314 1971 2628 3942 5913 7884 11826 17739 23652 30977 35478 61954 70956 92931 123908 185862 278793 371724 557586 836379 1115172 1672758 2261321 2509137 3345516 4522642 5018274 6783963 7527411 9045284 10036548 13567926 15054822 20351889 27135852 30109644 40703778 61055667 81407556 122111334 183167001 244222668 366334002 549501003 732668004 1099002006 2198004012