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2225773620 = 22335717191823
BaseRepresentation
bin1000010010101010…
…1001110000110100
312202010012000102000
42010222221300310
514024244223440
61004510015300
7106104522630
oct20452516064
95663160360
102225773620
11a42433734
125214a7530
13296186a15
14171869dc0
15d060d730
hex84aa9c34

2225773620 has 384 divisors, whose sum is σ = 8825241600. Its totient is φ = 453371904.

The previous prime is 2225773573. The next prime is 2225773631. The reversal of 2225773620 is 263775222.

2225773620 is a `hidden beast` number, since 2 + 2 + 25 + 7 + 7 + 3 + 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 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, 1220029 + ... + 1221851.

It is an arithmetic number, because the mean of its divisors is an integer number (22982400).

Almost surely, 22225773620 is an apocalyptic number.

2225773620 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 2225773620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412620800).

2225773620 is an abundant number, since it is smaller than the sum of its proper divisors (6599467980).

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

2225773620 is a wasteful number, since it uses less digits than its factorization.

2225773620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2225773620 is about 47178.1053032018. The cubic root of 2225773620 is about 1305.6506730103.

The spelling of 2225773620 in words is "two billion, two hundred twenty-five million, seven hundred seventy-three thousand, six hundred twenty".