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2214311132 = 22112171911409
BaseRepresentation
bin1000001111111011…
…1011010011011100
312201022121122211102
42003332323103130
514013330424012
61003420212232
7105605222405
oct20376732334
95638548742
102214311132
11a36a14800
1251969a078
132939a2597
141701249ac
15ce5e72c2
hex83fbb4dc

2214311132 has 72 divisors (see below), whose sum is σ = 4536725760. Its totient is φ = 941670400.

The previous prime is 2214311083. The next prime is 2214311147. The reversal of 2214311132 is 2311134122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570844 + ... + 1572252.

It is an arithmetic number, because the mean of its divisors is an integer number (63010080).

Almost surely, 22214311132 is an apocalyptic number.

2214311132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2214311132 is an abundant number, since it is smaller than the sum of its proper divisors (2322414628).

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

2214311132 is a wasteful number, since it uses less digits than its factorization.

2214311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1630 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 2214311132 is about 47056.4674832270. The cubic root of 2214311132 is about 1303.4054955906.

Adding to 2214311132 its reverse (2311134122), we get a palindrome (4525445254).

The spelling of 2214311132 in words is "two billion, two hundred fourteen million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 191 242 374 382 484 748 764 1409 2057 2101 2818 3247 4114 4202 5636 6494 8228 8404 12988 15499 23111 23953 30998 35717 46222 47906 61996 71434 92444 95812 142868 170489 263483 269119 340978 392887 526966 538238 681956 785774 1053932 1076476 1571548 2898313 2960309 4575023 5796626 5920618 9150046 11593252 11841236 18300092 32563399 50325253 65126798 100650506 130253596 201301012 553577783 1107155566 2214311132