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2198214234 = 233195933613
BaseRepresentation
bin1000001100000110…
…0001011001011010
312200012022212001000
42003001201121122
514000220323414
61002043205430
7105321340566
oct20301413132
95605285030
102198214234
11a2891a987
12514216876
132905578a8
1416bd346a6
15cceb7b09
hex8306165a

2198214234 has 64 divisors (see below), whose sum is σ = 5152118400. Its totient is φ = 692810496.

The previous prime is 2198214209. The next prime is 2198214301. The reversal of 2198214234 is 4324128912.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606612 + ... + 610224.

It is an arithmetic number, because the mean of its divisors is an integer number (80501850).

Almost surely, 22198214234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198214234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576059200).

2198214234 is an abundant number, since it is smaller than the sum of its proper divisors (2953904166).

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

2198214234 is a wasteful number, since it uses less digits than its factorization.

2198214234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236 (or 4230 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2198214234 is about 46885.1174041401. The cubic root of 2198214234 is about 1300.2394497781.

The spelling of 2198214234 in words is "two billion, one hundred ninety-eight million, two hundred fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 593 1026 1186 1779 3558 3613 5337 7226 10674 10839 11267 16011 21678 22534 32022 32517 33801 65034 67602 68647 97551 101403 137294 195102 202806 205941 304209 411882 608418 617823 1235646 1853469 2142509 3706938 4285018 6427527 12855054 19282581 38565162 40707671 57847743 81415342 115695486 122123013 244246026 366369039 732738078 1099107117 2198214234