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2212823340 = 223357313919
BaseRepresentation
bin1000001111100101…
…0000000100101100
312201012211001222000
42003321100010230
514012440321330
61003324252300
7105556455000
oct20371200454
95635731860
102212823340
11a36098a22
125190a1090
132935a1330
1416dc58700
15ce401560
hex83e5012c

2212823340 has 384 divisors, whose sum is σ = 8655360000. Its totient is φ = 466373376.

The previous prime is 2212823329. The next prime is 2212823357. The reversal of 2212823340 is 433282122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2407401 + ... + 2408319.

It is an arithmetic number, because the mean of its divisors is an integer number (22540000).

Almost surely, 22212823340 is an apocalyptic number.

2212823340 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 2212823340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327680000).

2212823340 is an abundant number, since it is smaller than the sum of its proper divisors (6442536660).

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

2212823340 is a wasteful number, since it uses less digits than its factorization.

2212823340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2212823340 is about 47040.6562454224. The cubic root of 2212823340 is about 1303.1135115182.

The spelling of 2212823340 in words is "two billion, two hundred twelve million, eight hundred twenty-three thousand, three hundred forty".