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2193362220 = 22357293137157
BaseRepresentation
bin1000001010111100…
…0000110100101100
312122212012100022210
42002233000310230
513443000042340
61001351210420
7105232162020
oct20257006454
95585170283
102193362220
11a26106555
12512676a10
1328c54928a
1416b430380
15cc85a180
hex82bc0d2c

2193362220 has 384 divisors, whose sum is σ = 7746600960. Its totient is φ = 452874240.

The previous prime is 2193362209. The next prime is 2193362231. The reversal of 2193362220 is 222633912.

It is an interprime number because it is at equal distance from previous prime (2193362209) and next prime (2193362231).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13970382 + ... + 13970538.

It is an arithmetic number, because the mean of its divisors is an integer number (20173440).

Almost surely, 22193362220 is an apocalyptic number.

2193362220 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 2193362220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873300480).

2193362220 is an abundant number, since it is smaller than the sum of its proper divisors (5553238740).

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

2193362220 is a wasteful number, since it uses less digits than its factorization.

2193362220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2193362220 is about 46833.3451720032. The cubic root of 2193362220 is about 1299.2820927704.

The spelling of 2193362220 in words is "two billion, one hundred ninety-three million, three hundred sixty-two thousand, two hundred twenty".