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2216197620 = 22325713197121
BaseRepresentation
bin1000010000011000…
…0111110111110100
312201110011111121100
42010012013313310
514014321310440
61003524450100
7105630240360
oct20406076764
95643144540
102216197620
11a37a9308a
1251a249930
132941b3150
141704962a0
15ce86b230
hex84187df4

2216197620 has 288 divisors, whose sum is σ = 8710490880. Its totient is φ = 442920960.

The previous prime is 2216197549. The next prime is 2216197667. The reversal of 2216197620 is 267916122.

2216197620 is a `hidden beast` number, since 2 + 2 + 16 + 19 + 7 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307660 + ... + 314780.

It is an arithmetic number, because the mean of its divisors is an integer number (30244760).

Almost surely, 22216197620 is an apocalyptic number.

2216197620 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 2216197620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355245440).

2216197620 is an abundant number, since it is smaller than the sum of its proper divisors (6494293260).

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

2216197620 is a wasteful number, since it uses less digits than its factorization.

2216197620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2216197620 is about 47076.5081542801. The cubic root of 2216197620 is about 1303.7755370667.

The spelling of 2216197620 in words is "two billion, two hundred sixteen million, one hundred ninety-seven thousand, six hundred twenty".