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2212087920 = 2435719371873
BaseRepresentation
bin1000001111011001…
…1100100001110000
312201011102201011020
42003312130201300
514012243303140
61003300415440
7105550302630
oct20366344160
95634381136
102212087920
11a35736439
125189a7580
132933a4683
1416db066c0
15ce3086d0
hex83d9c870

2212087920 has 320 divisors, whose sum is σ = 8477076480. Its totient is φ = 465813504.

The previous prime is 2212087909. The next prime is 2212087931. The reversal of 2212087920 is 297802122.

It is an interprime number because it is at equal distance from previous prime (2212087909) and next prime (2212087931).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1180104 + ... + 1181976.

It is an arithmetic number, because the mean of its divisors is an integer number (26490864).

Almost surely, 22212087920 is an apocalyptic number.

2212087920 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 2212087920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238538240).

2212087920 is an abundant number, since it is smaller than the sum of its proper divisors (6264988560).

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

2212087920 is a wasteful number, since it uses less digits than its factorization.

2212087920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2212087920 is about 47032.8387406076. The cubic root of 2212087920 is about 1302.9691345878.

The spelling of 2212087920 in words is "two billion, two hundred twelve million, eighty-seven thousand, nine hundred twenty".