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2212321320 = 23325114211327
BaseRepresentation
bin1000001111011101…
…0101100000101000
312201011212120022200
42003313111200220
514012323240240
61003305420200
7105552264246
oct20367254050
95634776280
102212321320
11a35885830
12518a9a660
13293456991
1416db67796
15ce352930
hex83dd5828

2212321320 has 192 divisors, whose sum is σ = 7868240640. Its totient is φ = 534643200.

The previous prime is 2212321301. The next prime is 2212321339. The reversal of 2212321320 is 231232122.

2212321320 is a `hidden beast` number, since 2 + 21 + 2 + 321 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2212321301) and next prime (2212321339).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212321293 and 2212321302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1666497 + ... + 1667823.

It is an arithmetic number, because the mean of its divisors is an integer number (40980420).

Almost surely, 22212321320 is an apocalyptic number.

2212321320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934120320).

2212321320 is an abundant number, since it is smaller than the sum of its proper divisors (5655919320).

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

2212321320 is a wasteful number, since it uses less digits than its factorization.

2212321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2212321320 is about 47035.3199202472. The cubic root of 2212321320 is about 1303.0149589118.

Adding to 2212321320 its reverse (231232122), we get a palindrome (2443553442).

The spelling of 2212321320 in words is "two billion, two hundred twelve million, three hundred twenty-one thousand, three hundred twenty".