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2213362920 = 233573252667
BaseRepresentation
bin1000001111101101…
…0011110011101000
312201020211111010110
42003323103303220
514013110103140
61003344014320
7105564163056
oct20373236350
95636744113
102213362920
11a3642735a
125193013a0
1329372cb02
1416dd591d6
15ce4ab380
hex83ed3ce8

2213362920 has 64 divisors (see below), whose sum is σ = 6731075520. Its totient is φ = 582142464.

The previous prime is 2213362913. The next prime is 2213362927. The reversal of 2213362920 is 292633122.

It is an interprime number because it is at equal distance from previous prime (2213362913) and next prime (2213362927).

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

It is not an unprimeable number, because it can be changed into a prime (2213362927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117574 + ... + 135093.

It is an arithmetic number, because the mean of its divisors is an integer number (105173055).

Almost surely, 22213362920 is an apocalyptic number.

2213362920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213362920 is an abundant number, since it is smaller than the sum of its proper divisors (4517712600).

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

2213362920 is a wasteful number, since it uses less digits than its factorization.

2213362920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252754 (or 252750 counting only the distinct ones).

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

The square root of 2213362920 is about 47046.3911474621. The cubic root of 2213362920 is about 1303.2194209887.

The spelling of 2213362920 in words is "two billion, two hundred thirteen million, three hundred sixty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 252667 505334 758001 1010668 1263335 1516002 2021336 2526670 3032004 3790005 5053340 6064008 7580010 10106680 15160020 18444691 30320040 36889382 55334073 73778764 92223455 110668146 147557528 184446910 221336292 276670365 368893820 442672584 553340730 737787640 1106681460 2213362920