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2214212312 = 231323744263
BaseRepresentation
bin1000001111111010…
…0011001011011000
312201022102122021102
42003332203023120
514013314243222
61003414130532
7105604331324
oct20376431330
95638378242
102214212312
11a36957534
12519650a48
13293969600
141700da984
15ce5c7d92
hex83fa32d8

2214212312 has 48 divisors (see below), whose sum is σ = 4617177840. Its totient is φ = 994301568.

The previous prime is 2214212309. The next prime is 2214212327. The reversal of 2214212312 is 2132124122.

2214212312 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 2×22142123122 = 9805472325224770688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27893 + ... + 72155.

It is an arithmetic number, because the mean of its divisors is an integer number (96191205).

Almost surely, 22214212312 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 2214212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308588920).

2214212312 is an abundant number, since it is smaller than the sum of its proper divisors (2402965528).

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

2214212312 is a wasteful number, since it uses less digits than its factorization.

2214212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44332 (or 44315 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 2214212312 is about 47055.4174564417. The cubic root of 2214212312 is about 1303.3861058964.

Adding to 2214212312 its reverse (2132124122), we get a palindrome (4346336434).

The spelling of 2214212312 in words is "two billion, two hundred fourteen million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 676 962 1352 1924 3848 6253 12506 25012 44263 50024 88526 177052 354104 575419 1150838 1637731 2301676 3275462 4603352 6550924 7480447 13101848 14960894 21290503 29921788 42581006 59843576 85162012 170324024 276776539 553553078 1107106156 2214212312